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Finding the Fourth Proportional to 1,152.23, 1,729.25 and 536.02

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Solution

The fourth proportional to 1,152.23, 1,729.25 and 536.02 is: 804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.23 : 1,729.25 = 536.02 : x
  2. Step 2: Convert to fraction form
    1,152.23/1,729.25 = 536.02/x
  3. Step 3: Cross multiply
    1,152.23x = 1,729.25 × 536.02
  4. Step 4: Simplify right side
    1,152.23x = 926,907.59
  5. Step 5: Solve for x
    x = 926,907.59/1,152.23
  6. Step 6: Final answer
    x = 804.45

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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.