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Finding the Fourth Proportional to 803.16, 1,107.89 and 507.92

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Solution

The fourth proportional to 803.16, 1,107.89 and 507.92 is: 700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.16 : 1,107.89 = 507.92 : x
  2. Step 2: Convert to fraction form
    803.16/1,107.89 = 507.92/x
  3. Step 3: Cross multiply
    803.16x = 1,107.89 × 507.92
  4. Step 4: Simplify right side
    803.16x = 562,711.41
  5. Step 5: Solve for x
    x = 562,711.41/803.16
  6. Step 6: Final answer
    x = 700.62

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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.