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Finding the Fourth Proportional to 781.93, 1,079.07 and 432.64

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Solution

The fourth proportional to 781.93, 1,079.07 and 432.64 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.93 : 1,079.07 = 432.64 : x
  2. Step 2: Convert to fraction form
    781.93/1,079.07 = 432.64/x
  3. Step 3: Cross multiply
    781.93x = 1,079.07 × 432.64
  4. Step 4: Simplify right side
    781.93x = 466,848.84
  5. Step 5: Solve for x
    x = 466,848.84/781.93
  6. Step 6: Final answer
    x = 597.05

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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.