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Finding the Fourth Proportional to 1,000.42, 1,380.47 and 558.23

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Solution

The fourth proportional to 1,000.42, 1,380.47 and 558.23 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.42 : 1,380.47 = 558.23 : x
  2. Step 2: Convert to fraction form
    1,000.42/1,380.47 = 558.23/x
  3. Step 3: Cross multiply
    1,000.42x = 1,380.47 × 558.23
  4. Step 4: Simplify right side
    1,000.42x = 770,610.07
  5. Step 5: Solve for x
    x = 770,610.07/1,000.42
  6. Step 6: Final answer
    x = 770.29

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Double scale
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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.