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Finding the Fourth Proportional to 881.02, 1,215.72 and 507.93

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Solution

The fourth proportional to 881.02, 1,215.72 and 507.93 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.02 : 1,215.72 = 507.93 : x
  2. Step 2: Convert to fraction form
    881.02/1,215.72 = 507.93/x
  3. Step 3: Cross multiply
    881.02x = 1,215.72 × 507.93
  4. Step 4: Simplify right side
    881.02x = 617,500.66
  5. Step 5: Solve for x
    x = 617,500.66/881.02
  6. Step 6: Final answer
    x = 700.89

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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.