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Finding the Fourth Proportional to 1,564.80, 2,347.25 and 875.87

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Solution

The fourth proportional to 1,564.80, 2,347.25 and 875.87 is: 1,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,347.25 = 875.87 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,347.25 = 875.87/x
  3. Step 3: Cross multiply
    1,564.80x = 2,347.25 × 875.87
  4. Step 4: Simplify right side
    1,564.80x = 2,055,869.74
  5. Step 5: Solve for x
    x = 2,055,869.74/1,564.80
  6. Step 6: Final answer
    x = 1,313.82

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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.