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Finding the Fourth Proportional to 1,129.47, 1,694.57 and 399.08

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Solution

The fourth proportional to 1,129.47, 1,694.57 and 399.08 is: 598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.47 : 1,694.57 = 399.08 : x
  2. Step 2: Convert to fraction form
    1,129.47/1,694.57 = 399.08/x
  3. Step 3: Cross multiply
    1,129.47x = 1,694.57 × 399.08
  4. Step 4: Simplify right side
    1,129.47x = 676,258.53
  5. Step 5: Solve for x
    x = 676,258.53/1,129.47
  6. Step 6: Final answer
    x = 598.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.