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Finding the Fourth Proportional to 1,063.72, 1,595.30 and 294.04

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Solution

The fourth proportional to 1,063.72, 1,595.30 and 294.04 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.72 : 1,595.30 = 294.04 : x
  2. Step 2: Convert to fraction form
    1,063.72/1,595.30 = 294.04/x
  3. Step 3: Cross multiply
    1,063.72x = 1,595.30 × 294.04
  4. Step 4: Simplify right side
    1,063.72x = 469,082.01
  5. Step 5: Solve for x
    x = 469,082.01/1,063.72
  6. Step 6: Final answer
    x = 440.98

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