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Finding the Fourth Proportional to 1,151.94, 1,728.49 and 534.95

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Solution

The fourth proportional to 1,151.94, 1,728.49 and 534.95 is: 802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.94 : 1,728.49 = 534.95 : x
  2. Step 2: Convert to fraction form
    1,151.94/1,728.49 = 534.95/x
  3. Step 3: Cross multiply
    1,151.94x = 1,728.49 × 534.95
  4. Step 4: Simplify right side
    1,151.94x = 924,655.73
  5. Step 5: Solve for x
    x = 924,655.73/1,151.94
  6. Step 6: Final answer
    x = 802.69

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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.