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Finding the Fourth Proportional to 691.38, 1,032.84 and 554.76

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Solution

The fourth proportional to 691.38, 1,032.84 and 554.76 is: 828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.38 : 1,032.84 = 554.76 : x
  2. Step 2: Convert to fraction form
    691.38/1,032.84 = 554.76/x
  3. Step 3: Cross multiply
    691.38x = 1,032.84 × 554.76
  4. Step 4: Simplify right side
    691.38x = 572,978.32
  5. Step 5: Solve for x
    x = 572,978.32/691.38
  6. Step 6: Final answer
    x = 828.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.