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Finding the Fourth Proportional to 748.88, 1,123.16 and 286.50

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Solution

The fourth proportional to 748.88, 1,123.16 and 286.50 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,123.16 = 286.50 : x
  2. Step 2: Convert to fraction form
    748.88/1,123.16 = 286.50/x
  3. Step 3: Cross multiply
    748.88x = 1,123.16 × 286.50
  4. Step 4: Simplify right side
    748.88x = 321,779.45
  5. Step 5: Solve for x
    x = 321,779.45/748.88
  6. Step 6: Final answer
    x = 429.68

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.