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Finding the Fourth Proportional to 860.04, 1,290.15 and 569.43

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Solution

The fourth proportional to 860.04, 1,290.15 and 569.43 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.04 : 1,290.15 = 569.43 : x
  2. Step 2: Convert to fraction form
    860.04/1,290.15 = 569.43/x
  3. Step 3: Cross multiply
    860.04x = 1,290.15 × 569.43
  4. Step 4: Simplify right side
    860.04x = 734,650.11
  5. Step 5: Solve for x
    x = 734,650.11/860.04
  6. Step 6: Final answer
    x = 854.20

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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.