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Finding the Fourth Proportional to 1,215.40, 1,822.50 and 565.72

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Solution

The fourth proportional to 1,215.40, 1,822.50 and 565.72 is: 848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.40 : 1,822.50 = 565.72 : x
  2. Step 2: Convert to fraction form
    1,215.40/1,822.50 = 565.72/x
  3. Step 3: Cross multiply
    1,215.40x = 1,822.50 × 565.72
  4. Step 4: Simplify right side
    1,215.40x = 1,031,024.70
  5. Step 5: Solve for x
    x = 1,031,024.70/1,215.40
  6. Step 6: Final answer
    x = 848.30

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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.