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Finding the Fourth Proportional to 1,564.83, 2,348.42 and 578.57

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Solution

The fourth proportional to 1,564.83, 2,348.42 and 578.57 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.83 : 2,348.42 = 578.57 : x
  2. Step 2: Convert to fraction form
    1,564.83/2,348.42 = 578.57/x
  3. Step 3: Cross multiply
    1,564.83x = 2,348.42 × 578.57
  4. Step 4: Simplify right side
    1,564.83x = 1,358,710.72
  5. Step 5: Solve for x
    x = 1,358,710.72/1,564.83
  6. Step 6: Final answer
    x = 868.28

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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.