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Finding the Fourth Proportional to 707.23, 1,061.00 and 360.75

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Solution

The fourth proportional to 707.23, 1,061.00 and 360.75 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.23 : 1,061.00 = 360.75 : x
  2. Step 2: Convert to fraction form
    707.23/1,061.00 = 360.75/x
  3. Step 3: Cross multiply
    707.23x = 1,061.00 × 360.75
  4. Step 4: Simplify right side
    707.23x = 382,759.28
  5. Step 5: Solve for x
    x = 382,759.28/707.23
  6. Step 6: Final answer
    x = 541.21

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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.