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Finding the Fourth Proportional to 707.90, 1,062.10 and 342.98

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Solution

The fourth proportional to 707.90, 1,062.10 and 342.98 is: 514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 1,062.10 = 342.98 : x
  2. Step 2: Convert to fraction form
    707.90/1,062.10 = 342.98/x
  3. Step 3: Cross multiply
    707.90x = 1,062.10 × 342.98
  4. Step 4: Simplify right side
    707.90x = 364,279.06
  5. Step 5: Solve for x
    x = 364,279.06/707.90
  6. Step 6: Final answer
    x = 514.59

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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.