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Finding the Fourth Proportional to 1,175.84, 1,764.10 and 473.27

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Solution

The fourth proportional to 1,175.84, 1,764.10 and 473.27 is: 710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.84 : 1,764.10 = 473.27 : x
  2. Step 2: Convert to fraction form
    1,175.84/1,764.10 = 473.27/x
  3. Step 3: Cross multiply
    1,175.84x = 1,764.10 × 473.27
  4. Step 4: Simplify right side
    1,175.84x = 834,895.61
  5. Step 5: Solve for x
    x = 834,895.61/1,175.84
  6. Step 6: Final answer
    x = 710.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.