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Finding the Fourth Proportional to 948.68, 1,309.14 and 529.10

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Solution

The fourth proportional to 948.68, 1,309.14 and 529.10 is: 730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.68 : 1,309.14 = 529.10 : x
  2. Step 2: Convert to fraction form
    948.68/1,309.14 = 529.10/x
  3. Step 3: Cross multiply
    948.68x = 1,309.14 × 529.10
  4. Step 4: Simplify right side
    948.68x = 692,665.97
  5. Step 5: Solve for x
    x = 692,665.97/948.68
  6. Step 6: Final answer
    x = 730.14

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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.