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Finding the Fourth Proportional to 1,710.47, 2,564.79 and 722.97

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Solution

The fourth proportional to 1,710.47, 2,564.79 and 722.97 is: 1,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.47 : 2,564.79 = 722.97 : x
  2. Step 2: Convert to fraction form
    1,710.47/2,564.79 = 722.97/x
  3. Step 3: Cross multiply
    1,710.47x = 2,564.79 × 722.97
  4. Step 4: Simplify right side
    1,710.47x = 1,854,266.23
  5. Step 5: Solve for x
    x = 1,854,266.23/1,710.47
  6. Step 6: Final answer
    x = 1,084.07

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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.