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Finding the Fourth Proportional to 1,000.75, 1,381.35 and 814.09

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Solution

The fourth proportional to 1,000.75, 1,381.35 and 814.09 is: 1,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.75 : 1,381.35 = 814.09 : x
  2. Step 2: Convert to fraction form
    1,000.75/1,381.35 = 814.09/x
  3. Step 3: Cross multiply
    1,000.75x = 1,381.35 × 814.09
  4. Step 4: Simplify right side
    1,000.75x = 1,124,543.22
  5. Step 5: Solve for x
    x = 1,124,543.22/1,000.75
  6. Step 6: Final answer
    x = 1,123.70

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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.