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Finding the Fourth Proportional to 1,182.21, 1,780.17 and 876.23

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Solution

The fourth proportional to 1,182.21, 1,780.17 and 876.23 is: 1,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.21 : 1,780.17 = 876.23 : x
  2. Step 2: Convert to fraction form
    1,182.21/1,780.17 = 876.23/x
  3. Step 3: Cross multiply
    1,182.21x = 1,780.17 × 876.23
  4. Step 4: Simplify right side
    1,182.21x = 1,559,829.46
  5. Step 5: Solve for x
    x = 1,559,829.46/1,182.21
  6. Step 6: Final answer
    x = 1,319.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.