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Finding the Fourth Proportional to 860.47, 1,290.74 and 569.83

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Solution

The fourth proportional to 860.47, 1,290.74 and 569.83 is: 854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.47 : 1,290.74 = 569.83 : x
  2. Step 2: Convert to fraction form
    860.47/1,290.74 = 569.83/x
  3. Step 3: Cross multiply
    860.47x = 1,290.74 × 569.83
  4. Step 4: Simplify right side
    860.47x = 735,493.07
  5. Step 5: Solve for x
    x = 735,493.07/860.47
  6. Step 6: Final answer
    x = 854.76

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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.