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Finding the Fourth Proportional to 748.76, 1,029.86 and 601.07

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Solution

The fourth proportional to 748.76, 1,029.86 and 601.07 is: 826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.76 : 1,029.86 = 601.07 : x
  2. Step 2: Convert to fraction form
    748.76/1,029.86 = 601.07/x
  3. Step 3: Cross multiply
    748.76x = 1,029.86 × 601.07
  4. Step 4: Simplify right side
    748.76x = 619,017.95
  5. Step 5: Solve for x
    x = 619,017.95/748.76
  6. Step 6: Final answer
    x = 826.72

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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.