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Finding the Fourth Proportional to 1,183.32, 1,774.98 and 534.78

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Solution

The fourth proportional to 1,183.32, 1,774.98 and 534.78 is: 802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.32 : 1,774.98 = 534.78 : x
  2. Step 2: Convert to fraction form
    1,183.32/1,774.98 = 534.78/x
  3. Step 3: Cross multiply
    1,183.32x = 1,774.98 × 534.78
  4. Step 4: Simplify right side
    1,183.32x = 949,223.80
  5. Step 5: Solve for x
    x = 949,223.80/1,183.32
  6. Step 6: Final answer
    x = 802.17

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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.