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Finding the Fourth Proportional to 786.44, 1,085.14 and 524

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Solution

The fourth proportional to 786.44, 1,085.14 and 524 is: 723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.44 : 1,085.14 = 524 : x
  2. Step 2: Convert to fraction form
    786.44/1,085.14 = 524/x
  3. Step 3: Cross multiply
    786.44x = 1,085.14 × 524
  4. Step 4: Simplify right side
    786.44x = 568,613.36
  5. Step 5: Solve for x
    x = 568,613.36/786.44
  6. Step 6: Final answer
    x = 723.02

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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.