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Finding the Fourth Proportional to 1,228.46, 1,842.82 and 498.10

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Solution

The fourth proportional to 1,228.46, 1,842.82 and 498.10 is: 747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.46 : 1,842.82 = 498.10 : x
  2. Step 2: Convert to fraction form
    1,228.46/1,842.82 = 498.10/x
  3. Step 3: Cross multiply
    1,228.46x = 1,842.82 × 498.10
  4. Step 4: Simplify right side
    1,228.46x = 917,908.64
  5. Step 5: Solve for x
    x = 917,908.64/1,228.46
  6. Step 6: Final answer
    x = 747.20

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1.5x scale

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.