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Finding the Fourth Proportional to 880.25, 1,214.75 and 507.23

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Solution

The fourth proportional to 880.25, 1,214.75 and 507.23 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.25 : 1,214.75 = 507.23 : x
  2. Step 2: Convert to fraction form
    880.25/1,214.75 = 507.23/x
  3. Step 3: Cross multiply
    880.25x = 1,214.75 × 507.23
  4. Step 4: Simplify right side
    880.25x = 616,157.39
  5. Step 5: Solve for x
    x = 616,157.39/880.25
  6. Step 6: Final answer
    x = 699.98

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Half scale
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Double scale
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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.