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Finding the Fourth Proportional to 1,045.49, 1,568.24 and 314.97

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Solution

The fourth proportional to 1,045.49, 1,568.24 and 314.97 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.49 : 1,568.24 = 314.97 : x
  2. Step 2: Convert to fraction form
    1,045.49/1,568.24 = 314.97/x
  3. Step 3: Cross multiply
    1,045.49x = 1,568.24 × 314.97
  4. Step 4: Simplify right side
    1,045.49x = 493,946.98
  5. Step 5: Solve for x
    x = 493,946.98/1,045.49
  6. Step 6: Final answer
    x = 472.46

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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.