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Finding the Fourth Proportional to 1,098.71, 1,648.10 and 276.99

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Solution

The fourth proportional to 1,098.71, 1,648.10 and 276.99 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.71 : 1,648.10 = 276.99 : x
  2. Step 2: Convert to fraction form
    1,098.71/1,648.10 = 276.99/x
  3. Step 3: Cross multiply
    1,098.71x = 1,648.10 × 276.99
  4. Step 4: Simplify right side
    1,098.71x = 456,500.17
  5. Step 5: Solve for x
    x = 456,500.17/1,098.71
  6. Step 6: Final answer
    x = 415.49

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Double scale
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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.