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Finding the Fourth Proportional to 1,193.47, 1,790.84 and 898.94

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Solution

The fourth proportional to 1,193.47, 1,790.84 and 898.94 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.47 : 1,790.84 = 898.94 : x
  2. Step 2: Convert to fraction form
    1,193.47/1,790.84 = 898.94/x
  3. Step 3: Cross multiply
    1,193.47x = 1,790.84 × 898.94
  4. Step 4: Simplify right side
    1,193.47x = 1,609,853.21
  5. Step 5: Solve for x
    x = 1,609,853.21/1,193.47
  6. Step 6: Final answer
    x = 1,348.89

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1.5x scale

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.