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Finding the Fourth Proportional to 1,151.34, 1,724.61 and 535.58

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Solution

The fourth proportional to 1,151.34, 1,724.61 and 535.58 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.34 : 1,724.61 = 535.58 : x
  2. Step 2: Convert to fraction form
    1,151.34/1,724.61 = 535.58/x
  3. Step 3: Cross multiply
    1,151.34x = 1,724.61 × 535.58
  4. Step 4: Simplify right side
    1,151.34x = 923,658.00
  5. Step 5: Solve for x
    x = 923,658.00/1,151.34
  6. Step 6: Final answer
    x = 802.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.