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Finding the Fourth Proportional to 1,564.27, 2,158.03 and 900.99

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Solution

The fourth proportional to 1,564.27, 2,158.03 and 900.99 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.27 : 2,158.03 = 900.99 : x
  2. Step 2: Convert to fraction form
    1,564.27/2,158.03 = 900.99/x
  3. Step 3: Cross multiply
    1,564.27x = 2,158.03 × 900.99
  4. Step 4: Simplify right side
    1,564.27x = 1,944,363.45
  5. Step 5: Solve for x
    x = 1,944,363.45/1,564.27
  6. Step 6: Final answer
    x = 1,242.98

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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.