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Finding the Fourth Proportional to 1,057.83, 1,459.71 and 615.75

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Solution

The fourth proportional to 1,057.83, 1,459.71 and 615.75 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.83 : 1,459.71 = 615.75 : x
  2. Step 2: Convert to fraction form
    1,057.83/1,459.71 = 615.75/x
  3. Step 3: Cross multiply
    1,057.83x = 1,459.71 × 615.75
  4. Step 4: Simplify right side
    1,057.83x = 898,816.43
  5. Step 5: Solve for x
    x = 898,816.43/1,057.83
  6. Step 6: Final answer
    x = 849.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.