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Finding the Fourth Proportional to 1,218.68, 1,828.62 and 569.46

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Solution

The fourth proportional to 1,218.68, 1,828.62 and 569.46 is: 854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.68 : 1,828.62 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,218.68/1,828.62 = 569.46/x
  3. Step 3: Cross multiply
    1,218.68x = 1,828.62 × 569.46
  4. Step 4: Simplify right side
    1,218.68x = 1,041,325.95
  5. Step 5: Solve for x
    x = 1,041,325.95/1,218.68
  6. Step 6: Final answer
    x = 854.47

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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.