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Finding the Fourth Proportional to 707.95, 1,061.96 and 360.31

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Solution

The fourth proportional to 707.95, 1,061.96 and 360.31 is: 540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 1,061.96 = 360.31 : x
  2. Step 2: Convert to fraction form
    707.95/1,061.96 = 360.31/x
  3. Step 3: Cross multiply
    707.95x = 1,061.96 × 360.31
  4. Step 4: Simplify right side
    707.95x = 382,634.81
  5. Step 5: Solve for x
    x = 382,634.81/707.95
  6. Step 6: Final answer
    x = 540.48

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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.