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Finding the Fourth Proportional to 719.69, 1,079.28 and 257.35

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Solution

The fourth proportional to 719.69, 1,079.28 and 257.35 is: 385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.69 : 1,079.28 = 257.35 : x
  2. Step 2: Convert to fraction form
    719.69/1,079.28 = 257.35/x
  3. Step 3: Cross multiply
    719.69x = 1,079.28 × 257.35
  4. Step 4: Simplify right side
    719.69x = 277,752.71
  5. Step 5: Solve for x
    x = 277,752.71/719.69
  6. Step 6: Final answer
    x = 385.93

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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.