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Finding the Fourth Proportional to 880.71, 1,215.10 and 507.55

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Solution

The fourth proportional to 880.71, 1,215.10 and 507.55 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,215.10 = 507.55 : x
  2. Step 2: Convert to fraction form
    880.71/1,215.10 = 507.55/x
  3. Step 3: Cross multiply
    880.71x = 1,215.10 × 507.55
  4. Step 4: Simplify right side
    880.71x = 616,724.01
  5. Step 5: Solve for x
    x = 616,724.01/880.71
  6. Step 6: Final answer
    x = 700.26

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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.