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Finding the Fourth Proportional to 691.55, 1,036.28 and 508.07

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Solution

The fourth proportional to 691.55, 1,036.28 and 508.07 is: 761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.55 : 1,036.28 = 508.07 : x
  2. Step 2: Convert to fraction form
    691.55/1,036.28 = 508.07/x
  3. Step 3: Cross multiply
    691.55x = 1,036.28 × 508.07
  4. Step 4: Simplify right side
    691.55x = 526,500.24
  5. Step 5: Solve for x
    x = 526,500.24/691.55
  6. Step 6: Final answer
    x = 761.33

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