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Finding the Fourth Proportional to 860.27, 1,186.75 and 510.71

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Solution

The fourth proportional to 860.27, 1,186.75 and 510.71 is: 704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.27 : 1,186.75 = 510.71 : x
  2. Step 2: Convert to fraction form
    860.27/1,186.75 = 510.71/x
  3. Step 3: Cross multiply
    860.27x = 1,186.75 × 510.71
  4. Step 4: Simplify right side
    860.27x = 606,085.09
  5. Step 5: Solve for x
    x = 606,085.09/860.27
  6. Step 6: Final answer
    x = 704.53

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Half scale
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Double scale
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1.5x scale

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.