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Finding the Fourth Proportional to 1,170.15, 1,613.84 and 876.12

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Solution

The fourth proportional to 1,170.15, 1,613.84 and 876.12 is: 1,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.15 : 1,613.84 = 876.12 : x
  2. Step 2: Convert to fraction form
    1,170.15/1,613.84 = 876.12/x
  3. Step 3: Cross multiply
    1,170.15x = 1,613.84 × 876.12
  4. Step 4: Simplify right side
    1,170.15x = 1,413,913.12
  5. Step 5: Solve for x
    x = 1,413,913.12/1,170.15
  6. Step 6: Final answer
    x = 1,208.32

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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.