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Finding the Fourth Proportional to 1,045.42, 1,568.31 and 468.34

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Solution

The fourth proportional to 1,045.42, 1,568.31 and 468.34 is: 702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.42 : 1,568.31 = 468.34 : x
  2. Step 2: Convert to fraction form
    1,045.42/1,568.31 = 468.34/x
  3. Step 3: Cross multiply
    1,045.42x = 1,568.31 × 468.34
  4. Step 4: Simplify right side
    1,045.42x = 734,502.31
  5. Step 5: Solve for x
    x = 734,502.31/1,045.42
  6. Step 6: Final answer
    x = 702.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.