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Finding the Fourth Proportional to 948.29, 1,308.71 and 528.74

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Solution

The fourth proportional to 948.29, 1,308.71 and 528.74 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,308.71 = 528.74 : x
  2. Step 2: Convert to fraction form
    948.29/1,308.71 = 528.74/x
  3. Step 3: Cross multiply
    948.29x = 1,308.71 × 528.74
  4. Step 4: Simplify right side
    948.29x = 691,971.40
  5. Step 5: Solve for x
    x = 691,971.40/948.29
  6. Step 6: Final answer
    x = 729.70

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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.