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Finding the Fourth Proportional to 802.62, 1,205.76 and 437.34

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Solution

The fourth proportional to 802.62, 1,205.76 and 437.34 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.62 : 1,205.76 = 437.34 : x
  2. Step 2: Convert to fraction form
    802.62/1,205.76 = 437.34/x
  3. Step 3: Cross multiply
    802.62x = 1,205.76 × 437.34
  4. Step 4: Simplify right side
    802.62x = 527,327.08
  5. Step 5: Solve for x
    x = 527,327.08/802.62
  6. Step 6: Final answer
    x = 657.01

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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.