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Finding the Fourth Proportional to 1,214.88, 1,822.24 and 565.76

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Solution

The fourth proportional to 1,214.88, 1,822.24 and 565.76 is: 848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.88 : 1,822.24 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,214.88/1,822.24 = 565.76/x
  3. Step 3: Cross multiply
    1,214.88x = 1,822.24 × 565.76
  4. Step 4: Simplify right side
    1,214.88x = 1,030,950.50
  5. Step 5: Solve for x
    x = 1,030,950.50/1,214.88
  6. Step 6: Final answer
    x = 848.60

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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.