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Finding the Fourth Proportional to 709.48, 1,064.13 and 189.52

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Solution

The fourth proportional to 709.48, 1,064.13 and 189.52 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 1,064.13 = 189.52 : x
  2. Step 2: Convert to fraction form
    709.48/1,064.13 = 189.52/x
  3. Step 3: Cross multiply
    709.48x = 1,064.13 × 189.52
  4. Step 4: Simplify right side
    709.48x = 201,671.26
  5. Step 5: Solve for x
    x = 201,671.26/709.48
  6. Step 6: Final answer
    x = 284.25

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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.