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Finding the Fourth Proportional to 817.77, 1,225.83 and 470.40

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Solution

The fourth proportional to 817.77, 1,225.83 and 470.40 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.77 : 1,225.83 = 470.40 : x
  2. Step 2: Convert to fraction form
    817.77/1,225.83 = 470.40/x
  3. Step 3: Cross multiply
    817.77x = 1,225.83 × 470.40
  4. Step 4: Simplify right side
    817.77x = 576,630.43
  5. Step 5: Solve for x
    x = 576,630.43/817.77
  6. Step 6: Final answer
    x = 705.13

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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.