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Finding the Fourth Proportional to 1,223.41, 1,827.68 and 781.15

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Solution

The fourth proportional to 1,223.41, 1,827.68 and 781.15 is: 1,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.41 : 1,827.68 = 781.15 : x
  2. Step 2: Convert to fraction form
    1,223.41/1,827.68 = 781.15/x
  3. Step 3: Cross multiply
    1,223.41x = 1,827.68 × 781.15
  4. Step 4: Simplify right side
    1,223.41x = 1,427,692.23
  5. Step 5: Solve for x
    x = 1,427,692.23/1,223.41
  6. Step 6: Final answer
    x = 1,166.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.