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Finding the Fourth Proportional to 707.78, 1,061.64 and 275.06

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Solution

The fourth proportional to 707.78, 1,061.64 and 275.06 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 1,061.64 = 275.06 : x
  2. Step 2: Convert to fraction form
    707.78/1,061.64 = 275.06/x
  3. Step 3: Cross multiply
    707.78x = 1,061.64 × 275.06
  4. Step 4: Simplify right side
    707.78x = 292,014.70
  5. Step 5: Solve for x
    x = 292,014.70/707.78
  6. Step 6: Final answer
    x = 412.58

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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.