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Finding the Fourth Proportional to 1,045.53, 1,567.84 and 314.94

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Solution

The fourth proportional to 1,045.53, 1,567.84 and 314.94 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.53 : 1,567.84 = 314.94 : x
  2. Step 2: Convert to fraction form
    1,045.53/1,567.84 = 314.94/x
  3. Step 3: Cross multiply
    1,045.53x = 1,567.84 × 314.94
  4. Step 4: Simplify right side
    1,045.53x = 493,766.12
  5. Step 5: Solve for x
    x = 493,766.12/1,045.53
  6. Step 6: Final answer
    x = 472.26

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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.