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Finding the Fourth Proportional to 872.78, 1,205.01 and 607.14

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Solution

The fourth proportional to 872.78, 1,205.01 and 607.14 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.78 : 1,205.01 = 607.14 : x
  2. Step 2: Convert to fraction form
    872.78/1,205.01 = 607.14/x
  3. Step 3: Cross multiply
    872.78x = 1,205.01 × 607.14
  4. Step 4: Simplify right side
    872.78x = 731,609.77
  5. Step 5: Solve for x
    x = 731,609.77/872.78
  6. Step 6: Final answer
    x = 838.26

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Half scale
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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.