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Finding the Fourth Proportional to 709.16, 1,063.13 and 554.24

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Solution

The fourth proportional to 709.16, 1,063.13 and 554.24 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.16 : 1,063.13 = 554.24 : x
  2. Step 2: Convert to fraction form
    709.16/1,063.13 = 554.24/x
  3. Step 3: Cross multiply
    709.16x = 1,063.13 × 554.24
  4. Step 4: Simplify right side
    709.16x = 589,229.06
  5. Step 5: Solve for x
    x = 589,229.06/709.16
  6. Step 6: Final answer
    x = 830.89

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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.