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Finding the Fourth Proportional to 1,528.66, 2,293.04 and 433.11

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Solution

The fourth proportional to 1,528.66, 2,293.04 and 433.11 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.66 : 2,293.04 = 433.11 : x
  2. Step 2: Convert to fraction form
    1,528.66/2,293.04 = 433.11/x
  3. Step 3: Cross multiply
    1,528.66x = 2,293.04 × 433.11
  4. Step 4: Simplify right side
    1,528.66x = 993,138.55
  5. Step 5: Solve for x
    x = 993,138.55/1,528.66
  6. Step 6: Final answer
    x = 649.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.