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Finding the Fourth Proportional to 787.23, 1,086.75 and 525.42

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Solution

The fourth proportional to 787.23, 1,086.75 and 525.42 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.23 : 1,086.75 = 525.42 : x
  2. Step 2: Convert to fraction form
    787.23/1,086.75 = 525.42/x
  3. Step 3: Cross multiply
    787.23x = 1,086.75 × 525.42
  4. Step 4: Simplify right side
    787.23x = 571,000.19
  5. Step 5: Solve for x
    x = 571,000.19/787.23
  6. Step 6: Final answer
    x = 725.33

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Double scale
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1.5x scale

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.