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Finding the Fourth Proportional to 1,082.84, 1,623.03 and 535.40

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Solution

The fourth proportional to 1,082.84, 1,623.03 and 535.40 is: 802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.84 : 1,623.03 = 535.40 : x
  2. Step 2: Convert to fraction form
    1,082.84/1,623.03 = 535.40/x
  3. Step 3: Cross multiply
    1,082.84x = 1,623.03 × 535.40
  4. Step 4: Simplify right side
    1,082.84x = 868,962.15
  5. Step 5: Solve for x
    x = 868,962.15/1,082.84
  6. Step 6: Final answer
    x = 802.49

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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.