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Finding the Fourth Proportional to 1,140.80, 1,710.68 and 410.38

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Solution

The fourth proportional to 1,140.80, 1,710.68 and 410.38 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.80 : 1,710.68 = 410.38 : x
  2. Step 2: Convert to fraction form
    1,140.80/1,710.68 = 410.38/x
  3. Step 3: Cross multiply
    1,140.80x = 1,710.68 × 410.38
  4. Step 4: Simplify right side
    1,140.80x = 702,018.25
  5. Step 5: Solve for x
    x = 702,018.25/1,140.80
  6. Step 6: Final answer
    x = 615.38

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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.