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Finding the Fourth Proportional to 788.92, 1,088.64 and 457.24

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Solution

The fourth proportional to 788.92, 1,088.64 and 457.24 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.92 : 1,088.64 = 457.24 : x
  2. Step 2: Convert to fraction form
    788.92/1,088.64 = 457.24/x
  3. Step 3: Cross multiply
    788.92x = 1,088.64 × 457.24
  4. Step 4: Simplify right side
    788.92x = 497,769.75
  5. Step 5: Solve for x
    x = 497,769.75/788.92
  6. Step 6: Final answer
    x = 630.95

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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.