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Finding the Fourth Proportional to 787.02, 1,086.08 and 432.93

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Solution

The fourth proportional to 787.02, 1,086.08 and 432.93 is: 597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,086.08 = 432.93 : x
  2. Step 2: Convert to fraction form
    787.02/1,086.08 = 432.93/x
  3. Step 3: Cross multiply
    787.02x = 1,086.08 × 432.93
  4. Step 4: Simplify right side
    787.02x = 470,194.45
  5. Step 5: Solve for x
    x = 470,194.45/787.02
  6. Step 6: Final answer
    x = 597.44

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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.