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Finding the Fourth Proportional to 1,158.76, 1,599.54 and 693.16

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Solution

The fourth proportional to 1,158.76, 1,599.54 and 693.16 is: 956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.76 : 1,599.54 = 693.16 : x
  2. Step 2: Convert to fraction form
    1,158.76/1,599.54 = 693.16/x
  3. Step 3: Cross multiply
    1,158.76x = 1,599.54 × 693.16
  4. Step 4: Simplify right side
    1,158.76x = 1,108,737.15
  5. Step 5: Solve for x
    x = 1,108,737.15/1,158.76
  6. Step 6: Final answer
    x = 956.83

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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.