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Finding the Fourth Proportional to 788.60, 1,088.03 and 509.15

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Solution

The fourth proportional to 788.60, 1,088.03 and 509.15 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.60 : 1,088.03 = 509.15 : x
  2. Step 2: Convert to fraction form
    788.60/1,088.03 = 509.15/x
  3. Step 3: Cross multiply
    788.60x = 1,088.03 × 509.15
  4. Step 4: Simplify right side
    788.60x = 553,974.47
  5. Step 5: Solve for x
    x = 553,974.47/788.60
  6. Step 6: Final answer
    x = 702.48

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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.