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Finding the Fourth Proportional to 1,129.59, 1,695.15 and 582.15

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Solution

The fourth proportional to 1,129.59, 1,695.15 and 582.15 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.59 : 1,695.15 = 582.15 : x
  2. Step 2: Convert to fraction form
    1,129.59/1,695.15 = 582.15/x
  3. Step 3: Cross multiply
    1,129.59x = 1,695.15 × 582.15
  4. Step 4: Simplify right side
    1,129.59x = 986,831.57
  5. Step 5: Solve for x
    x = 986,831.57/1,129.59
  6. Step 6: Final answer
    x = 873.62

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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.