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Finding the Fourth Proportional to 1,057.67, 1,459.47 and 615.66

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Solution

The fourth proportional to 1,057.67, 1,459.47 and 615.66 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.67 : 1,459.47 = 615.66 : x
  2. Step 2: Convert to fraction form
    1,057.67/1,459.47 = 615.66/x
  3. Step 3: Cross multiply
    1,057.67x = 1,459.47 × 615.66
  4. Step 4: Simplify right side
    1,057.67x = 898,537.30
  5. Step 5: Solve for x
    x = 898,537.30/1,057.67
  6. Step 6: Final answer
    x = 849.54

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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.