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Finding the Fourth Proportional to 1,057.85, 1,459.50 and 615.44

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Solution

The fourth proportional to 1,057.85, 1,459.50 and 615.44 is: 849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.85 : 1,459.50 = 615.44 : x
  2. Step 2: Convert to fraction form
    1,057.85/1,459.50 = 615.44/x
  3. Step 3: Cross multiply
    1,057.85x = 1,459.50 × 615.44
  4. Step 4: Simplify right side
    1,057.85x = 898,227.38
  5. Step 5: Solve for x
    x = 898,227.38/1,057.85
  6. Step 6: Final answer
    x = 849.11

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Double scale
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1.5x scale

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.