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Finding the Fourth Proportional to 707.69, 1,061.80 and 245.52

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Solution

The fourth proportional to 707.69, 1,061.80 and 245.52 is: 368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.69 : 1,061.80 = 245.52 : x
  2. Step 2: Convert to fraction form
    707.69/1,061.80 = 245.52/x
  3. Step 3: Cross multiply
    707.69x = 1,061.80 × 245.52
  4. Step 4: Simplify right side
    707.69x = 260,693.14
  5. Step 5: Solve for x
    x = 260,693.14/707.69
  6. Step 6: Final answer
    x = 368.37

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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.