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Finding the Fourth Proportional to 864.52, 1,193.25 and 491.72

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Solution

The fourth proportional to 864.52, 1,193.25 and 491.72 is: 678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.52 : 1,193.25 = 491.72 : x
  2. Step 2: Convert to fraction form
    864.52/1,193.25 = 491.72/x
  3. Step 3: Cross multiply
    864.52x = 1,193.25 × 491.72
  4. Step 4: Simplify right side
    864.52x = 586,744.89
  5. Step 5: Solve for x
    x = 586,744.89/864.52
  6. Step 6: Final answer
    x = 678.70

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1.5x scale

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.