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Finding the Fourth Proportional to 788.93, 1,088.50 and 509.17

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Solution

The fourth proportional to 788.93, 1,088.50 and 509.17 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.93 : 1,088.50 = 509.17 : x
  2. Step 2: Convert to fraction form
    788.93/1,088.50 = 509.17/x
  3. Step 3: Cross multiply
    788.93x = 1,088.50 × 509.17
  4. Step 4: Simplify right side
    788.93x = 554,231.55
  5. Step 5: Solve for x
    x = 554,231.55/788.93
  6. Step 6: Final answer
    x = 702.51

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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.