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Finding the Fourth Proportional to 1,057.82, 1,459.14 and 615.65

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Solution

The fourth proportional to 1,057.82, 1,459.14 and 615.65 is: 849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,459.14 = 615.65 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,459.14 = 615.65/x
  3. Step 3: Cross multiply
    1,057.82x = 1,459.14 × 615.65
  4. Step 4: Simplify right side
    1,057.82x = 898,312.25
  5. Step 5: Solve for x
    x = 898,312.25/1,057.82
  6. Step 6: Final answer
    x = 849.21

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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.