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Finding the Fourth Proportional to 1,154.79, 1,593.61 and 630.83

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Solution

The fourth proportional to 1,154.79, 1,593.61 and 630.83 is: 870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.79 : 1,593.61 = 630.83 : x
  2. Step 2: Convert to fraction form
    1,154.79/1,593.61 = 630.83/x
  3. Step 3: Cross multiply
    1,154.79x = 1,593.61 × 630.83
  4. Step 4: Simplify right side
    1,154.79x = 1,005,287.45
  5. Step 5: Solve for x
    x = 1,005,287.45/1,154.79
  6. Step 6: Final answer
    x = 870.54

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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.