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Finding the Fourth Proportional to 1,488.80, 2,231.48 and 563.77

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Solution

The fourth proportional to 1,488.80, 2,231.48 and 563.77 is: 845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.80 : 2,231.48 = 563.77 : x
  2. Step 2: Convert to fraction form
    1,488.80/2,231.48 = 563.77/x
  3. Step 3: Cross multiply
    1,488.80x = 2,231.48 × 563.77
  4. Step 4: Simplify right side
    1,488.80x = 1,258,041.48
  5. Step 5: Solve for x
    x = 1,258,041.48/1,488.80
  6. Step 6: Final answer
    x = 845.00

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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.