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Finding the Fourth Proportional to 948.27, 1,308.53 and 528.57

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Solution

The fourth proportional to 948.27, 1,308.53 and 528.57 is: 729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,308.53 = 528.57 : x
  2. Step 2: Convert to fraction form
    948.27/1,308.53 = 528.57/x
  3. Step 3: Cross multiply
    948.27x = 1,308.53 × 528.57
  4. Step 4: Simplify right side
    948.27x = 691,647.06
  5. Step 5: Solve for x
    x = 691,647.06/948.27
  6. Step 6: Final answer
    x = 729.38

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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.