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Finding the Fourth Proportional to 1,152.84, 1,729.60 and 536.91

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Solution

The fourth proportional to 1,152.84, 1,729.60 and 536.91 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.84 : 1,729.60 = 536.91 : x
  2. Step 2: Convert to fraction form
    1,152.84/1,729.60 = 536.91/x
  3. Step 3: Cross multiply
    1,152.84x = 1,729.60 × 536.91
  4. Step 4: Simplify right side
    1,152.84x = 928,639.54
  5. Step 5: Solve for x
    x = 928,639.54/1,152.84
  6. Step 6: Final answer
    x = 805.52

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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.