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Finding the Fourth Proportional to 929.42, 1,282.83 and 631.17

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Solution

The fourth proportional to 929.42, 1,282.83 and 631.17 is: 871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,282.83 = 631.17 : x
  2. Step 2: Convert to fraction form
    929.42/1,282.83 = 631.17/x
  3. Step 3: Cross multiply
    929.42x = 1,282.83 × 631.17
  4. Step 4: Simplify right side
    929.42x = 809,678.95
  5. Step 5: Solve for x
    x = 809,678.95/929.42
  6. Step 6: Final answer
    x = 871.16

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Why These Related Problems?

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