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Finding the Fourth Proportional to 1,057.68, 1,458.93 and 742.47

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Solution

The fourth proportional to 1,057.68, 1,458.93 and 742.47 is: 1,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,458.93 = 742.47 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,458.93 = 742.47/x
  3. Step 3: Cross multiply
    1,057.68x = 1,458.93 × 742.47
  4. Step 4: Simplify right side
    1,057.68x = 1,083,211.76
  5. Step 5: Solve for x
    x = 1,083,211.76/1,057.68
  6. Step 6: Final answer
    x = 1,024.14

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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.