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Finding the Fourth Proportional to 691.44, 1,035.95 and 616.11

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Solution

The fourth proportional to 691.44, 1,035.95 and 616.11 is: 923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.44 : 1,035.95 = 616.11 : x
  2. Step 2: Convert to fraction form
    691.44/1,035.95 = 616.11/x
  3. Step 3: Cross multiply
    691.44x = 1,035.95 × 616.11
  4. Step 4: Simplify right side
    691.44x = 638,256.07
  5. Step 5: Solve for x
    x = 638,256.07/691.44
  6. Step 6: Final answer
    x = 923.08

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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.