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Finding the Fourth Proportional to 781.88, 1,079.06 and 432.63

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Solution

The fourth proportional to 781.88, 1,079.06 and 432.63 is: 597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,079.06 = 432.63 : x
  2. Step 2: Convert to fraction form
    781.88/1,079.06 = 432.63/x
  3. Step 3: Cross multiply
    781.88x = 1,079.06 × 432.63
  4. Step 4: Simplify right side
    781.88x = 466,831.56
  5. Step 5: Solve for x
    x = 466,831.56/781.88
  6. Step 6: Final answer
    x = 597.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.