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Finding the Fourth Proportional to 1,564.31, 2,346.77 and 698.63

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Solution

The fourth proportional to 1,564.31, 2,346.77 and 698.63 is: 1,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.31 : 2,346.77 = 698.63 : x
  2. Step 2: Convert to fraction form
    1,564.31/2,346.77 = 698.63/x
  3. Step 3: Cross multiply
    1,564.31x = 2,346.77 × 698.63
  4. Step 4: Simplify right side
    1,564.31x = 1,639,513.94
  5. Step 5: Solve for x
    x = 1,639,513.94/1,564.31
  6. Step 6: Final answer
    x = 1,048.07

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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.