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Finding the Fourth Proportional to 1,057.41, 1,459.06 and 637.85

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Solution

The fourth proportional to 1,057.41, 1,459.06 and 637.85 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.41 : 1,459.06 = 637.85 : x
  2. Step 2: Convert to fraction form
    1,057.41/1,459.06 = 637.85/x
  3. Step 3: Cross multiply
    1,057.41x = 1,459.06 × 637.85
  4. Step 4: Simplify right side
    1,057.41x = 930,663.47
  5. Step 5: Solve for x
    x = 930,663.47/1,057.41
  6. Step 6: Final answer
    x = 880.13

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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.