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Finding the Fourth Proportional to 854.72, 1,178.16 and 707.12

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Solution

The fourth proportional to 854.72, 1,178.16 and 707.12 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,178.16 = 707.12 : x
  2. Step 2: Convert to fraction form
    854.72/1,178.16 = 707.12/x
  3. Step 3: Cross multiply
    854.72x = 1,178.16 × 707.12
  4. Step 4: Simplify right side
    854.72x = 833,100.50
  5. Step 5: Solve for x
    x = 833,100.50/854.72
  6. Step 6: Final answer
    x = 974.71

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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.