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Finding the Fourth Proportional to 1,158.29, 1,598.46 and 634.33

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Solution

The fourth proportional to 1,158.29, 1,598.46 and 634.33 is: 875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.29 : 1,598.46 = 634.33 : x
  2. Step 2: Convert to fraction form
    1,158.29/1,598.46 = 634.33/x
  3. Step 3: Cross multiply
    1,158.29x = 1,598.46 × 634.33
  4. Step 4: Simplify right side
    1,158.29x = 1,013,951.13
  5. Step 5: Solve for x
    x = 1,013,951.13/1,158.29
  6. Step 6: Final answer
    x = 875.39

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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.