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Finding the Fourth Proportional to 1,006.29, 1,388.67 and 564.16

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Solution

The fourth proportional to 1,006.29, 1,388.67 and 564.16 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.29 : 1,388.67 = 564.16 : x
  2. Step 2: Convert to fraction form
    1,006.29/1,388.67 = 564.16/x
  3. Step 3: Cross multiply
    1,006.29x = 1,388.67 × 564.16
  4. Step 4: Simplify right side
    1,006.29x = 783,432.07
  5. Step 5: Solve for x
    x = 783,432.07/1,006.29
  6. Step 6: Final answer
    x = 778.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.