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Finding the Fourth Proportional to 1,320.96, 1,981.71 and 590.54

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Solution

The fourth proportional to 1,320.96, 1,981.71 and 590.54 is: 885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.96 : 1,981.71 = 590.54 : x
  2. Step 2: Convert to fraction form
    1,320.96/1,981.71 = 590.54/x
  3. Step 3: Cross multiply
    1,320.96x = 1,981.71 × 590.54
  4. Step 4: Simplify right side
    1,320.96x = 1,170,269.11
  5. Step 5: Solve for x
    x = 1,170,269.11/1,320.96
  6. Step 6: Final answer
    x = 885.92

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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.