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Finding the Fourth Proportional to 1,148.19, 1,584.68 and 650.85

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Solution

The fourth proportional to 1,148.19, 1,584.68 and 650.85 is: 898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.19 : 1,584.68 = 650.85 : x
  2. Step 2: Convert to fraction form
    1,148.19/1,584.68 = 650.85/x
  3. Step 3: Cross multiply
    1,148.19x = 1,584.68 × 650.85
  4. Step 4: Simplify right side
    1,148.19x = 1,031,385.72
  5. Step 5: Solve for x
    x = 1,031,385.72/1,148.19
  6. Step 6: Final answer
    x = 898.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.