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Finding the Fourth Proportional to 707.88, 1,061.70 and 275.04

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Solution

The fourth proportional to 707.88, 1,061.70 and 275.04 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.88 : 1,061.70 = 275.04 : x
  2. Step 2: Convert to fraction form
    707.88/1,061.70 = 275.04/x
  3. Step 3: Cross multiply
    707.88x = 1,061.70 × 275.04
  4. Step 4: Simplify right side
    707.88x = 292,009.97
  5. Step 5: Solve for x
    x = 292,009.97/707.88
  6. Step 6: Final answer
    x = 412.51

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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.