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Finding the Fourth Proportional to 1,057.30, 1,459.16 and 615.23

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Solution

The fourth proportional to 1,057.30, 1,459.16 and 615.23 is: 849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.30 : 1,459.16 = 615.23 : x
  2. Step 2: Convert to fraction form
    1,057.30/1,459.16 = 615.23/x
  3. Step 3: Cross multiply
    1,057.30x = 1,459.16 × 615.23
  4. Step 4: Simplify right side
    1,057.30x = 897,719.01
  5. Step 5: Solve for x
    x = 897,719.01/1,057.30
  6. Step 6: Final answer
    x = 849.07

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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.