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Finding the Fourth Proportional to 788.50, 1,088.26 and 478.18

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Solution

The fourth proportional to 788.50, 1,088.26 and 478.18 is: 659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.50 : 1,088.26 = 478.18 : x
  2. Step 2: Convert to fraction form
    788.50/1,088.26 = 478.18/x
  3. Step 3: Cross multiply
    788.50x = 1,088.26 × 478.18
  4. Step 4: Simplify right side
    788.50x = 520,384.17
  5. Step 5: Solve for x
    x = 520,384.17/788.50
  6. Step 6: Final answer
    x = 659.97

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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.