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Finding the Fourth Proportional to 1,320.96, 1,981.28 and 347.12

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Solution

The fourth proportional to 1,320.96, 1,981.28 and 347.12 is: 520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.96 : 1,981.28 = 347.12 : x
  2. Step 2: Convert to fraction form
    1,320.96/1,981.28 = 347.12/x
  3. Step 3: Cross multiply
    1,320.96x = 1,981.28 × 347.12
  4. Step 4: Simplify right side
    1,320.96x = 687,741.91
  5. Step 5: Solve for x
    x = 687,741.91/1,320.96
  6. Step 6: Final answer
    x = 520.64

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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.