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Finding the Fourth Proportional to 1,000.40, 1,380.59 and 558.41

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Solution

The fourth proportional to 1,000.40, 1,380.59 and 558.41 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.40 : 1,380.59 = 558.41 : x
  2. Step 2: Convert to fraction form
    1,000.40/1,380.59 = 558.41/x
  3. Step 3: Cross multiply
    1,000.40x = 1,380.59 × 558.41
  4. Step 4: Simplify right side
    1,000.40x = 770,938.02
  5. Step 5: Solve for x
    x = 770,938.02/1,000.40
  6. Step 6: Final answer
    x = 770.63

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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.