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Finding the Fourth Proportional to 707.58, 1,061.46 and 342.06

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Solution

The fourth proportional to 707.58, 1,061.46 and 342.06 is: 513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.58 : 1,061.46 = 342.06 : x
  2. Step 2: Convert to fraction form
    707.58/1,061.46 = 342.06/x
  3. Step 3: Cross multiply
    707.58x = 1,061.46 × 342.06
  4. Step 4: Simplify right side
    707.58x = 363,083.01
  5. Step 5: Solve for x
    x = 363,083.01/707.58
  6. Step 6: Final answer
    x = 513.13

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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.