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Finding the Fourth Proportional to 707.07, 1,061.26 and 360.65

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Solution

The fourth proportional to 707.07, 1,061.26 and 360.65 is: 541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.07 : 1,061.26 = 360.65 : x
  2. Step 2: Convert to fraction form
    707.07/1,061.26 = 360.65/x
  3. Step 3: Cross multiply
    707.07x = 1,061.26 × 360.65
  4. Step 4: Simplify right side
    707.07x = 382,743.42
  5. Step 5: Solve for x
    x = 382,743.42/707.07
  6. Step 6: Final answer
    x = 541.31

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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.