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Finding the Fourth Proportional to 1,356.66, 2,035.01 and 432.23

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Solution

The fourth proportional to 1,356.66, 2,035.01 and 432.23 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.66 : 2,035.01 = 432.23 : x
  2. Step 2: Convert to fraction form
    1,356.66/2,035.01 = 432.23/x
  3. Step 3: Cross multiply
    1,356.66x = 2,035.01 × 432.23
  4. Step 4: Simplify right side
    1,356.66x = 879,583.28
  5. Step 5: Solve for x
    x = 879,583.28/1,356.66
  6. Step 6: Final answer
    x = 648.34

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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.