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Finding the Fourth Proportional to 718.78, 991.65 and 509.32

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Solution

The fourth proportional to 718.78, 991.65 and 509.32 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.78 : 991.65 = 509.32 : x
  2. Step 2: Convert to fraction form
    718.78/991.65 = 509.32/x
  3. Step 3: Cross multiply
    718.78x = 991.65 × 509.32
  4. Step 4: Simplify right side
    718.78x = 505,067.18
  5. Step 5: Solve for x
    x = 505,067.18/718.78
  6. Step 6: Final answer
    x = 702.67

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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.