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Finding the Fourth Proportional to 880.26, 1,214.75 and 507.24

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Solution

The fourth proportional to 880.26, 1,214.75 and 507.24 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.26 : 1,214.75 = 507.24 : x
  2. Step 2: Convert to fraction form
    880.26/1,214.75 = 507.24/x
  3. Step 3: Cross multiply
    880.26x = 1,214.75 × 507.24
  4. Step 4: Simplify right side
    880.26x = 616,163.72
  5. Step 5: Solve for x
    x = 616,163.72/880.26
  6. Step 6: Final answer
    x = 699.98

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1.5x scale

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.