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Finding the Fourth Proportional to 948.59, 1,309.13 and 529.08

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Solution

The fourth proportional to 948.59, 1,309.13 and 529.08 is: 730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.59 : 1,309.13 = 529.08 : x
  2. Step 2: Convert to fraction form
    948.59/1,309.13 = 529.08/x
  3. Step 3: Cross multiply
    948.59x = 1,309.13 × 529.08
  4. Step 4: Simplify right side
    948.59x = 692,628.93
  5. Step 5: Solve for x
    x = 692,628.93/948.59
  6. Step 6: Final answer
    x = 730.17

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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.