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Finding the Fourth Proportional to 1,141.16, 1,574.80 and 617.19

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Solution

The fourth proportional to 1,141.16, 1,574.80 and 617.19 is: 851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.16 : 1,574.80 = 617.19 : x
  2. Step 2: Convert to fraction form
    1,141.16/1,574.80 = 617.19/x
  3. Step 3: Cross multiply
    1,141.16x = 1,574.80 × 617.19
  4. Step 4: Simplify right side
    1,141.16x = 971,950.81
  5. Step 5: Solve for x
    x = 971,950.81/1,141.16
  6. Step 6: Final answer
    x = 851.72

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.