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Finding the Fourth Proportional to 707.78, 1,061.64 and 296.80

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Solution

The fourth proportional to 707.78, 1,061.64 and 296.80 is: 445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 1,061.64 = 296.80 : x
  2. Step 2: Convert to fraction form
    707.78/1,061.64 = 296.80/x
  3. Step 3: Cross multiply
    707.78x = 1,061.64 × 296.80
  4. Step 4: Simplify right side
    707.78x = 315,094.75
  5. Step 5: Solve for x
    x = 315,094.75/707.78
  6. Step 6: Final answer
    x = 445.19

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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.