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Finding the Fourth Proportional to 1,057.81, 1,459.75 and 615.71

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Solution

The fourth proportional to 1,057.81, 1,459.75 and 615.71 is: 849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.81 : 1,459.75 = 615.71 : x
  2. Step 2: Convert to fraction form
    1,057.81/1,459.75 = 615.71/x
  3. Step 3: Cross multiply
    1,057.81x = 1,459.75 × 615.71
  4. Step 4: Simplify right side
    1,057.81x = 898,772.30
  5. Step 5: Solve for x
    x = 898,772.30/1,057.81
  6. Step 6: Final answer
    x = 849.66

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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.