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Finding the Fourth Proportional to 1,184.36, 1,776.54 and 534.92

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Solution

The fourth proportional to 1,184.36, 1,776.54 and 534.92 is: 802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.36 : 1,776.54 = 534.92 : x
  2. Step 2: Convert to fraction form
    1,184.36/1,776.54 = 534.92/x
  3. Step 3: Cross multiply
    1,184.36x = 1,776.54 × 534.92
  4. Step 4: Simplify right side
    1,184.36x = 950,306.78
  5. Step 5: Solve for x
    x = 950,306.78/1,184.36
  6. Step 6: Final answer
    x = 802.38

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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.