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Finding the Fourth Proportional to 948.53, 1,309.19 and 529.04

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Solution

The fourth proportional to 948.53, 1,309.19 and 529.04 is: 730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.53 : 1,309.19 = 529.04 : x
  2. Step 2: Convert to fraction form
    948.53/1,309.19 = 529.04/x
  3. Step 3: Cross multiply
    948.53x = 1,309.19 × 529.04
  4. Step 4: Simplify right side
    948.53x = 692,614.51
  5. Step 5: Solve for x
    x = 692,614.51/948.53
  6. Step 6: Final answer
    x = 730.20

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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.