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Finding the Fourth Proportional to 787.86, 1,087.56 and 526.32

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Solution

The fourth proportional to 787.86, 1,087.56 and 526.32 is: 726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,087.56 = 526.32 : x
  2. Step 2: Convert to fraction form
    787.86/1,087.56 = 526.32/x
  3. Step 3: Cross multiply
    787.86x = 1,087.56 × 526.32
  4. Step 4: Simplify right side
    787.86x = 572,404.58
  5. Step 5: Solve for x
    x = 572,404.58/787.86
  6. Step 6: Final answer
    x = 726.53

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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.