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Finding the Fourth Proportional to 1,125.43, 1,552.93 and 646.82

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Solution

The fourth proportional to 1,125.43, 1,552.93 and 646.82 is: 892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.43 : 1,552.93 = 646.82 : x
  2. Step 2: Convert to fraction form
    1,125.43/1,552.93 = 646.82/x
  3. Step 3: Cross multiply
    1,125.43x = 1,552.93 × 646.82
  4. Step 4: Simplify right side
    1,125.43x = 1,004,466.18
  5. Step 5: Solve for x
    x = 1,004,466.18/1,125.43
  6. Step 6: Final answer
    x = 892.52

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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.