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Finding the Fourth Proportional to 1,142.21, 1,713.32 and 594.11

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Solution

The fourth proportional to 1,142.21, 1,713.32 and 594.11 is: 891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.21 : 1,713.32 = 594.11 : x
  2. Step 2: Convert to fraction form
    1,142.21/1,713.32 = 594.11/x
  3. Step 3: Cross multiply
    1,142.21x = 1,713.32 × 594.11
  4. Step 4: Simplify right side
    1,142.21x = 1,017,897.57
  5. Step 5: Solve for x
    x = 1,017,897.57/1,142.21
  6. Step 6: Final answer
    x = 891.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.