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Finding the Fourth Proportional to 864.80, 1,193.42 and 471.82

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Solution

The fourth proportional to 864.80, 1,193.42 and 471.82 is: 651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.80 : 1,193.42 = 471.82 : x
  2. Step 2: Convert to fraction form
    864.80/1,193.42 = 471.82/x
  3. Step 3: Cross multiply
    864.80x = 1,193.42 × 471.82
  4. Step 4: Simplify right side
    864.80x = 563,071.10
  5. Step 5: Solve for x
    x = 563,071.10/864.80
  6. Step 6: Final answer
    x = 651.10

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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.