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Finding the Fourth Proportional to 1,045.44, 1,567.68 and 314.72

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Solution

The fourth proportional to 1,045.44, 1,567.68 and 314.72 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.44 : 1,567.68 = 314.72 : x
  2. Step 2: Convert to fraction form
    1,045.44/1,567.68 = 314.72/x
  3. Step 3: Cross multiply
    1,045.44x = 1,567.68 × 314.72
  4. Step 4: Simplify right side
    1,045.44x = 493,380.25
  5. Step 5: Solve for x
    x = 493,380.25/1,045.44
  6. Step 6: Final answer
    x = 471.94

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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.