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Finding the Fourth Proportional to 732.01, 1,009.83 and 452.02

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Solution

The fourth proportional to 732.01, 1,009.83 and 452.02 is: 623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.01 : 1,009.83 = 452.02 : x
  2. Step 2: Convert to fraction form
    732.01/1,009.83 = 452.02/x
  3. Step 3: Cross multiply
    732.01x = 1,009.83 × 452.02
  4. Step 4: Simplify right side
    732.01x = 456,460.83
  5. Step 5: Solve for x
    x = 456,460.83/732.01
  6. Step 6: Final answer
    x = 623.57

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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.