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Finding the Fourth Proportional to 1,210.59, 1,816.61 and 800.91

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Solution

The fourth proportional to 1,210.59, 1,816.61 and 800.91 is: 1,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.59 : 1,816.61 = 800.91 : x
  2. Step 2: Convert to fraction form
    1,210.59/1,816.61 = 800.91/x
  3. Step 3: Cross multiply
    1,210.59x = 1,816.61 × 800.91
  4. Step 4: Simplify right side
    1,210.59x = 1,454,937.11
  5. Step 5: Solve for x
    x = 1,454,937.11/1,210.59
  6. Step 6: Final answer
    x = 1,201.84

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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.