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Finding the Fourth Proportional to 691.04, 1,036.20 and 434

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Solution

The fourth proportional to 691.04, 1,036.20 and 434 is: 650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.04 : 1,036.20 = 434 : x
  2. Step 2: Convert to fraction form
    691.04/1,036.20 = 434/x
  3. Step 3: Cross multiply
    691.04x = 1,036.20 × 434
  4. Step 4: Simplify right side
    691.04x = 449,710.80
  5. Step 5: Solve for x
    x = 449,710.80/691.04
  6. Step 6: Final answer
    x = 650.77

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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.