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Finding the Fourth Proportional to 1,214.76, 1,822.14 and 565.95

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Solution

The fourth proportional to 1,214.76, 1,822.14 and 565.95 is: 848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,822.14 = 565.95 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,822.14 = 565.95/x
  3. Step 3: Cross multiply
    1,214.76x = 1,822.14 × 565.95
  4. Step 4: Simplify right side
    1,214.76x = 1,031,240.13
  5. Step 5: Solve for x
    x = 1,031,240.13/1,214.76
  6. Step 6: Final answer
    x = 848.93

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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.