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Finding the Fourth Proportional to 880.87, 1,215.36 and 507.82

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Solution

The fourth proportional to 880.87, 1,215.36 and 507.82 is: 700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.87 : 1,215.36 = 507.82 : x
  2. Step 2: Convert to fraction form
    880.87/1,215.36 = 507.82/x
  3. Step 3: Cross multiply
    880.87x = 1,215.36 × 507.82
  4. Step 4: Simplify right side
    880.87x = 617,184.12
  5. Step 5: Solve for x
    x = 617,184.12/880.87
  6. Step 6: Final answer
    x = 700.65

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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.