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Finding the Fourth Proportional to 1,214.95, 1,822.28 and 337.52

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Solution

The fourth proportional to 1,214.95, 1,822.28 and 337.52 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.95 : 1,822.28 = 337.52 : x
  2. Step 2: Convert to fraction form
    1,214.95/1,822.28 = 337.52/x
  3. Step 3: Cross multiply
    1,214.95x = 1,822.28 × 337.52
  4. Step 4: Simplify right side
    1,214.95x = 615,055.95
  5. Step 5: Solve for x
    x = 615,055.95/1,214.95
  6. Step 6: Final answer
    x = 506.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.