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Finding the Fourth Proportional to 880.26, 1,214.76 and 507.25

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Solution

The fourth proportional to 880.26, 1,214.76 and 507.25 is: 700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.26 : 1,214.76 = 507.25 : x
  2. Step 2: Convert to fraction form
    880.26/1,214.76 = 507.25/x
  3. Step 3: Cross multiply
    880.26x = 1,214.76 × 507.25
  4. Step 4: Simplify right side
    880.26x = 616,187.01
  5. Step 5: Solve for x
    x = 616,187.01/880.26
  6. Step 6: Final answer
    x = 700.01

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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.