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Finding the Fourth Proportional to 1,122.35, 1,548.60 and 729.23

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Solution

The fourth proportional to 1,122.35, 1,548.60 and 729.23 is: 1,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.35 : 1,548.60 = 729.23 : x
  2. Step 2: Convert to fraction form
    1,122.35/1,548.60 = 729.23/x
  3. Step 3: Cross multiply
    1,122.35x = 1,548.60 × 729.23
  4. Step 4: Simplify right side
    1,122.35x = 1,129,285.58
  5. Step 5: Solve for x
    x = 1,129,285.58/1,122.35
  6. Step 6: Final answer
    x = 1,006.18

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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.