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Finding the Fourth Proportional to 948.64, 1,309.14 and 528.97

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Solution

The fourth proportional to 948.64, 1,309.14 and 528.97 is: 729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.64 : 1,309.14 = 528.97 : x
  2. Step 2: Convert to fraction form
    948.64/1,309.14 = 528.97/x
  3. Step 3: Cross multiply
    948.64x = 1,309.14 × 528.97
  4. Step 4: Simplify right side
    948.64x = 692,495.79
  5. Step 5: Solve for x
    x = 692,495.79/948.64
  6. Step 6: Final answer
    x = 729.99

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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.