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Finding the Fourth Proportional to 1,497.78, 2,246.76 and 457.94

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Solution

The fourth proportional to 1,497.78, 2,246.76 and 457.94 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.78 : 2,246.76 = 457.94 : x
  2. Step 2: Convert to fraction form
    1,497.78/2,246.76 = 457.94/x
  3. Step 3: Cross multiply
    1,497.78x = 2,246.76 × 457.94
  4. Step 4: Simplify right side
    1,497.78x = 1,028,878.98
  5. Step 5: Solve for x
    x = 1,028,878.98/1,497.78
  6. Step 6: Final answer
    x = 686.94

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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.