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Finding the Fourth Proportional to 788.48, 1,088.16 and 478.40

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Solution

The fourth proportional to 788.48, 1,088.16 and 478.40 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,088.16 = 478.40 : x
  2. Step 2: Convert to fraction form
    788.48/1,088.16 = 478.40/x
  3. Step 3: Cross multiply
    788.48x = 1,088.16 × 478.40
  4. Step 4: Simplify right side
    788.48x = 520,575.74
  5. Step 5: Solve for x
    x = 520,575.74/788.48
  6. Step 6: Final answer
    x = 660.23

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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.