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Finding the Fourth Proportional to 1,045.22, 1,568.34 and 429.36

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Solution

The fourth proportional to 1,045.22, 1,568.34 and 429.36 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.22 : 1,568.34 = 429.36 : x
  2. Step 2: Convert to fraction form
    1,045.22/1,568.34 = 429.36/x
  3. Step 3: Cross multiply
    1,045.22x = 1,568.34 × 429.36
  4. Step 4: Simplify right side
    1,045.22x = 673,382.46
  5. Step 5: Solve for x
    x = 673,382.46/1,045.22
  6. Step 6: Final answer
    x = 644.25

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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.