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Finding the Fourth Proportional to 788.67, 1,088.51 and 509.25

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Solution

The fourth proportional to 788.67, 1,088.51 and 509.25 is: 702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.67 : 1,088.51 = 509.25 : x
  2. Step 2: Convert to fraction form
    788.67/1,088.51 = 509.25/x
  3. Step 3: Cross multiply
    788.67x = 1,088.51 × 509.25
  4. Step 4: Simplify right side
    788.67x = 554,325.25
  5. Step 5: Solve for x
    x = 554,325.25/788.67
  6. Step 6: Final answer
    x = 702.86

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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.