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Finding the Fourth Proportional to 1,204.95, 1,662.81 and 652.95

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Solution

The fourth proportional to 1,204.95, 1,662.81 and 652.95 is: 901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.95 : 1,662.81 = 652.95 : x
  2. Step 2: Convert to fraction form
    1,204.95/1,662.81 = 652.95/x
  3. Step 3: Cross multiply
    1,204.95x = 1,662.81 × 652.95
  4. Step 4: Simplify right side
    1,204.95x = 1,085,731.79
  5. Step 5: Solve for x
    x = 1,085,731.79/1,204.95
  6. Step 6: Final answer
    x = 901.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.