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Finding the Fourth Proportional to 1,158.59, 1,598.85 and 634.65

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Solution

The fourth proportional to 1,158.59, 1,598.85 and 634.65 is: 875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.59 : 1,598.85 = 634.65 : x
  2. Step 2: Convert to fraction form
    1,158.59/1,598.85 = 634.65/x
  3. Step 3: Cross multiply
    1,158.59x = 1,598.85 × 634.65
  4. Step 4: Simplify right side
    1,158.59x = 1,014,710.15
  5. Step 5: Solve for x
    x = 1,014,710.15/1,158.59
  6. Step 6: Final answer
    x = 875.82

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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.