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Finding the Fourth Proportional to 1,564.27, 2,346.48 and 686.33

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Solution

The fourth proportional to 1,564.27, 2,346.48 and 686.33 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.27 : 2,346.48 = 686.33 : x
  2. Step 2: Convert to fraction form
    1,564.27/2,346.48 = 686.33/x
  3. Step 3: Cross multiply
    1,564.27x = 2,346.48 × 686.33
  4. Step 4: Simplify right side
    1,564.27x = 1,610,459.62
  5. Step 5: Solve for x
    x = 1,610,459.62/1,564.27
  6. Step 6: Final answer
    x = 1,029.53

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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.