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Finding the Fourth Proportional to 803.12, 1,107.88 and 507.87

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Solution

The fourth proportional to 803.12, 1,107.88 and 507.87 is: 700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,107.88 = 507.87 : x
  2. Step 2: Convert to fraction form
    803.12/1,107.88 = 507.87/x
  3. Step 3: Cross multiply
    803.12x = 1,107.88 × 507.87
  4. Step 4: Simplify right side
    803.12x = 562,657.75
  5. Step 5: Solve for x
    x = 562,657.75/803.12
  6. Step 6: Final answer
    x = 700.59

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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.