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Finding the Fourth Proportional to 1,277.76, 1,913.46 and 814.17

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Solution

The fourth proportional to 1,277.76, 1,913.46 and 814.17 is: 1,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.76 : 1,913.46 = 814.17 : x
  2. Step 2: Convert to fraction form
    1,277.76/1,913.46 = 814.17/x
  3. Step 3: Cross multiply
    1,277.76x = 1,913.46 × 814.17
  4. Step 4: Simplify right side
    1,277.76x = 1,557,881.73
  5. Step 5: Solve for x
    x = 1,557,881.73/1,277.76
  6. Step 6: Final answer
    x = 1,219.23

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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.