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Finding the Fourth Proportional to 1,045.85, 1,568.75 and 315.42

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Solution

The fourth proportional to 1,045.85, 1,568.75 and 315.42 is: 473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.85 : 1,568.75 = 315.42 : x
  2. Step 2: Convert to fraction form
    1,045.85/1,568.75 = 315.42/x
  3. Step 3: Cross multiply
    1,045.85x = 1,568.75 × 315.42
  4. Step 4: Simplify right side
    1,045.85x = 494,813.55
  5. Step 5: Solve for x
    x = 494,813.55/1,045.85
  6. Step 6: Final answer
    x = 473.12

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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.