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Finding the Fourth Proportional to 788.77, 1,088.17 and 474.04

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Solution

The fourth proportional to 788.77, 1,088.17 and 474.04 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.77 : 1,088.17 = 474.04 : x
  2. Step 2: Convert to fraction form
    788.77/1,088.17 = 474.04/x
  3. Step 3: Cross multiply
    788.77x = 1,088.17 × 474.04
  4. Step 4: Simplify right side
    788.77x = 515,836.11
  5. Step 5: Solve for x
    x = 515,836.11/788.77
  6. Step 6: Final answer
    x = 653.98

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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.