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Finding the Fourth Proportional to 691.26, 1,036.44 and 508.02

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Solution

The fourth proportional to 691.26, 1,036.44 and 508.02 is: 761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.26 : 1,036.44 = 508.02 : x
  2. Step 2: Convert to fraction form
    691.26/1,036.44 = 508.02/x
  3. Step 3: Cross multiply
    691.26x = 1,036.44 × 508.02
  4. Step 4: Simplify right side
    691.26x = 526,532.25
  5. Step 5: Solve for x
    x = 526,532.25/691.26
  6. Step 6: Final answer
    x = 761.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.