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Finding the Fourth Proportional to 788.15, 1,087.95 and 526.07

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Solution

The fourth proportional to 788.15, 1,087.95 and 526.07 is: 726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.15 : 1,087.95 = 526.07 : x
  2. Step 2: Convert to fraction form
    788.15/1,087.95 = 526.07/x
  3. Step 3: Cross multiply
    788.15x = 1,087.95 × 526.07
  4. Step 4: Simplify right side
    788.15x = 572,337.86
  5. Step 5: Solve for x
    x = 572,337.86/788.15
  6. Step 6: Final answer
    x = 726.18

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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.