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Finding the Fourth Proportional to 860.66, 1,291.18 and 283.40

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Solution

The fourth proportional to 860.66, 1,291.18 and 283.40 is: 425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.66 : 1,291.18 = 283.40 : x
  2. Step 2: Convert to fraction form
    860.66/1,291.18 = 283.40/x
  3. Step 3: Cross multiply
    860.66x = 1,291.18 × 283.40
  4. Step 4: Simplify right side
    860.66x = 365,920.41
  5. Step 5: Solve for x
    x = 365,920.41/860.66
  6. Step 6: Final answer
    x = 425.16

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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.