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Finding the Fourth Proportional to 1,564.60, 2,159.04 and 900.98

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Solution

The fourth proportional to 1,564.60, 2,159.04 and 900.98 is: 1,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.60 : 2,159.04 = 900.98 : x
  2. Step 2: Convert to fraction form
    1,564.60/2,159.04 = 900.98/x
  3. Step 3: Cross multiply
    1,564.60x = 2,159.04 × 900.98
  4. Step 4: Simplify right side
    1,564.60x = 1,945,251.86
  5. Step 5: Solve for x
    x = 1,945,251.86/1,564.60
  6. Step 6: Final answer
    x = 1,243.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.