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Finding the Fourth Proportional to 1,158.13, 1,598.16 and 634.06

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Solution

The fourth proportional to 1,158.13, 1,598.16 and 634.06 is: 874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.13 : 1,598.16 = 634.06 : x
  2. Step 2: Convert to fraction form
    1,158.13/1,598.16 = 634.06/x
  3. Step 3: Cross multiply
    1,158.13x = 1,598.16 × 634.06
  4. Step 4: Simplify right side
    1,158.13x = 1,013,329.33
  5. Step 5: Solve for x
    x = 1,013,329.33/1,158.13
  6. Step 6: Final answer
    x = 874.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.