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Finding the Fourth Proportional to 1,045.66, 1,568.50 and 315.24

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Solution

The fourth proportional to 1,045.66, 1,568.50 and 315.24 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.66 : 1,568.50 = 315.24 : x
  2. Step 2: Convert to fraction form
    1,045.66/1,568.50 = 315.24/x
  3. Step 3: Cross multiply
    1,045.66x = 1,568.50 × 315.24
  4. Step 4: Simplify right side
    1,045.66x = 494,453.15
  5. Step 5: Solve for x
    x = 494,453.15/1,045.66
  6. Step 6: Final answer
    x = 472.86

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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.