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Finding the Fourth Proportional to 821.72, 1,135.68 and 707.24

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Solution

The fourth proportional to 821.72, 1,135.68 and 707.24 is: 977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.72 : 1,135.68 = 707.24 : x
  2. Step 2: Convert to fraction form
    821.72/1,135.68 = 707.24/x
  3. Step 3: Cross multiply
    821.72x = 1,135.68 × 707.24
  4. Step 4: Simplify right side
    821.72x = 803,198.32
  5. Step 5: Solve for x
    x = 803,198.32/821.72
  6. Step 6: Final answer
    x = 977.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.