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Finding the Fourth Proportional to 1,488.05, 2,232.10 and 564.05

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Solution

The fourth proportional to 1,488.05, 2,232.10 and 564.05 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.05 : 2,232.10 = 564.05 : x
  2. Step 2: Convert to fraction form
    1,488.05/2,232.10 = 564.05/x
  3. Step 3: Cross multiply
    1,488.05x = 2,232.10 × 564.05
  4. Step 4: Simplify right side
    1,488.05x = 1,259,006.25
  5. Step 5: Solve for x
    x = 1,259,006.25/1,488.05
  6. Step 6: Final answer
    x = 846.08

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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.