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Finding the Fourth Proportional to 1,158.23, 1,598.29 and 634.16

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Solution

The fourth proportional to 1,158.23, 1,598.29 and 634.16 is: 875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.23 : 1,598.29 = 634.16 : x
  2. Step 2: Convert to fraction form
    1,158.23/1,598.29 = 634.16/x
  3. Step 3: Cross multiply
    1,158.23x = 1,598.29 × 634.16
  4. Step 4: Simplify right side
    1,158.23x = 1,013,560.42
  5. Step 5: Solve for x
    x = 1,013,560.42/1,158.23
  6. Step 6: Final answer
    x = 875.10

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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.