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Finding the Fourth Proportional to 709.42, 1,064.04 and 189.45

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Solution

The fourth proportional to 709.42, 1,064.04 and 189.45 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.42 : 1,064.04 = 189.45 : x
  2. Step 2: Convert to fraction form
    709.42/1,064.04 = 189.45/x
  3. Step 3: Cross multiply
    709.42x = 1,064.04 × 189.45
  4. Step 4: Simplify right side
    709.42x = 201,582.38
  5. Step 5: Solve for x
    x = 201,582.38/709.42
  6. Step 6: Final answer
    x = 284.15

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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.