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Finding the Fourth Proportional to 880.39, 1,214.72 and 507.48

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Solution

The fourth proportional to 880.39, 1,214.72 and 507.48 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,214.72 = 507.48 : x
  2. Step 2: Convert to fraction form
    880.39/1,214.72 = 507.48/x
  3. Step 3: Cross multiply
    880.39x = 1,214.72 × 507.48
  4. Step 4: Simplify right side
    880.39x = 616,446.11
  5. Step 5: Solve for x
    x = 616,446.11/880.39
  6. Step 6: Final answer
    x = 700.20

Related Problems

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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.