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Finding the Fourth Proportional to 802.64, 1,206.12 and 456.50

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Solution

The fourth proportional to 802.64, 1,206.12 and 456.50 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.64 : 1,206.12 = 456.50 : x
  2. Step 2: Convert to fraction form
    802.64/1,206.12 = 456.50/x
  3. Step 3: Cross multiply
    802.64x = 1,206.12 × 456.50
  4. Step 4: Simplify right side
    802.64x = 550,593.78
  5. Step 5: Solve for x
    x = 550,593.78/802.64
  6. Step 6: Final answer
    x = 685.98

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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.