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Finding the Fourth Proportional to 707, 1,059.40 and 341.28

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Solution

The fourth proportional to 707, 1,059.40 and 341.28 is: 511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707 : 1,059.40 = 341.28 : x
  2. Step 2: Convert to fraction form
    707/1,059.40 = 341.28/x
  3. Step 3: Cross multiply
    707x = 1,059.40 × 341.28
  4. Step 4: Simplify right side
    707x = 361,552.03
  5. Step 5: Solve for x
    x = 361,552.03/707
  6. Step 6: Final answer
    x = 511.39

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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.