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Finding the Fourth Proportional to 860.07, 1,187.20 and 510.75

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Solution

The fourth proportional to 860.07, 1,187.20 and 510.75 is: 705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.07 : 1,187.20 = 510.75 : x
  2. Step 2: Convert to fraction form
    860.07/1,187.20 = 510.75/x
  3. Step 3: Cross multiply
    860.07x = 1,187.20 × 510.75
  4. Step 4: Simplify right side
    860.07x = 606,359.85
  5. Step 5: Solve for x
    x = 606,359.85/860.07
  6. Step 6: Final answer
    x = 705.02

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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.