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Finding the Fourth Proportional to 1,140.57, 1,710.94 and 410.15

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Solution

The fourth proportional to 1,140.57, 1,710.94 and 410.15 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.57 : 1,710.94 = 410.15 : x
  2. Step 2: Convert to fraction form
    1,140.57/1,710.94 = 410.15/x
  3. Step 3: Cross multiply
    1,140.57x = 1,710.94 × 410.15
  4. Step 4: Simplify right side
    1,140.57x = 701,742.04
  5. Step 5: Solve for x
    x = 701,742.04/1,140.57
  6. Step 6: Final answer
    x = 615.26

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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.