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Finding the Fourth Proportional to 788.85, 1,088.15 and 457.22

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Solution

The fourth proportional to 788.85, 1,088.15 and 457.22 is: 630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.85 : 1,088.15 = 457.22 : x
  2. Step 2: Convert to fraction form
    788.85/1,088.15 = 457.22/x
  3. Step 3: Cross multiply
    788.85x = 1,088.15 × 457.22
  4. Step 4: Simplify right side
    788.85x = 497,524.38
  5. Step 5: Solve for x
    x = 497,524.38/788.85
  6. Step 6: Final answer
    x = 630.70

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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.