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Finding the Fourth Proportional to 860.50, 1,188.48 and 714.70

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Solution

The fourth proportional to 860.50, 1,188.48 and 714.70 is: 987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.50 : 1,188.48 = 714.70 : x
  2. Step 2: Convert to fraction form
    860.50/1,188.48 = 714.70/x
  3. Step 3: Cross multiply
    860.50x = 1,188.48 × 714.70
  4. Step 4: Simplify right side
    860.50x = 849,406.66
  5. Step 5: Solve for x
    x = 849,406.66/860.50
  6. Step 6: Final answer
    x = 987.11

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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.