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Finding the Fourth Proportional to 1,162.17, 1,741.65 and 854.19

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Solution

The fourth proportional to 1,162.17, 1,741.65 and 854.19 is: 1,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.17 : 1,741.65 = 854.19 : x
  2. Step 2: Convert to fraction form
    1,162.17/1,741.65 = 854.19/x
  3. Step 3: Cross multiply
    1,162.17x = 1,741.65 × 854.19
  4. Step 4: Simplify right side
    1,162.17x = 1,487,700.01
  5. Step 5: Solve for x
    x = 1,487,700.01/1,162.17
  6. Step 6: Final answer
    x = 1,280.11

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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.