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Finding the Fourth Proportional to 1,802.32, 2,704.56 and 707.68

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Solution

The fourth proportional to 1,802.32, 2,704.56 and 707.68 is: 1,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.32 : 2,704.56 = 707.68 : x
  2. Step 2: Convert to fraction form
    1,802.32/2,704.56 = 707.68/x
  3. Step 3: Cross multiply
    1,802.32x = 2,704.56 × 707.68
  4. Step 4: Simplify right side
    1,802.32x = 1,913,963.02
  5. Step 5: Solve for x
    x = 1,913,963.02/1,802.32
  6. Step 6: Final answer
    x = 1,061.94

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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.