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Finding the Fourth Proportional to 1,142.19, 1,713.28 and 594.53

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Solution

The fourth proportional to 1,142.19, 1,713.28 and 594.53 is: 891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.19 : 1,713.28 = 594.53 : x
  2. Step 2: Convert to fraction form
    1,142.19/1,713.28 = 594.53/x
  3. Step 3: Cross multiply
    1,142.19x = 1,713.28 × 594.53
  4. Step 4: Simplify right side
    1,142.19x = 1,018,596.36
  5. Step 5: Solve for x
    x = 1,018,596.36/1,142.19
  6. Step 6: Final answer
    x = 891.79

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