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Finding the Fourth Proportional to 880.86, 1,215.64 and 507.96

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Solution

The fourth proportional to 880.86, 1,215.64 and 507.96 is: 701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.86 : 1,215.64 = 507.96 : x
  2. Step 2: Convert to fraction form
    880.86/1,215.64 = 507.96/x
  3. Step 3: Cross multiply
    880.86x = 1,215.64 × 507.96
  4. Step 4: Simplify right side
    880.86x = 617,496.49
  5. Step 5: Solve for x
    x = 617,496.49/880.86
  6. Step 6: Final answer
    x = 701.02

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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.