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Finding the Fourth Proportional to 1,317.20, 1,816.01 and 818.97

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Solution

The fourth proportional to 1,317.20, 1,816.01 and 818.97 is: 1,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.20 : 1,816.01 = 818.97 : x
  2. Step 2: Convert to fraction form
    1,317.20/1,816.01 = 818.97/x
  3. Step 3: Cross multiply
    1,317.20x = 1,816.01 × 818.97
  4. Step 4: Simplify right side
    1,317.20x = 1,487,253.61
  5. Step 5: Solve for x
    x = 1,487,253.61/1,317.20
  6. Step 6: Final answer
    x = 1,129.11

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1.5x scale

Why These Related Problems?

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