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Finding the Fourth Proportional to 707.98, 1,061.47 and 220.76

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Solution

The fourth proportional to 707.98, 1,061.47 and 220.76 is: 330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.98 : 1,061.47 = 220.76 : x
  2. Step 2: Convert to fraction form
    707.98/1,061.47 = 220.76/x
  3. Step 3: Cross multiply
    707.98x = 1,061.47 × 220.76
  4. Step 4: Simplify right side
    707.98x = 234,330.12
  5. Step 5: Solve for x
    x = 234,330.12/707.98
  6. Step 6: Final answer
    x = 330.98

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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.