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Finding the Fourth Proportional to 880.83, 1,215.36 and 507.78

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Solution

The fourth proportional to 880.83, 1,215.36 and 507.78 is: 700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.83 : 1,215.36 = 507.78 : x
  2. Step 2: Convert to fraction form
    880.83/1,215.36 = 507.78/x
  3. Step 3: Cross multiply
    880.83x = 1,215.36 × 507.78
  4. Step 4: Simplify right side
    880.83x = 617,135.50
  5. Step 5: Solve for x
    x = 617,135.50/880.83
  6. Step 6: Final answer
    x = 700.63

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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.