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Finding the Fourth Proportional to 1,057.63, 1,459.53 and 615.79

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Solution

The fourth proportional to 1,057.63, 1,459.53 and 615.79 is: 849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.63 : 1,459.53 = 615.79 : x
  2. Step 2: Convert to fraction form
    1,057.63/1,459.53 = 615.79/x
  3. Step 3: Cross multiply
    1,057.63x = 1,459.53 × 615.79
  4. Step 4: Simplify right side
    1,057.63x = 898,763.98
  5. Step 5: Solve for x
    x = 898,763.98/1,057.63
  6. Step 6: Final answer
    x = 849.79

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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.