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Finding the Fourth Proportional to 1,184.21, 1,777.08 and 534.91

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Solution

The fourth proportional to 1,184.21, 1,777.08 and 534.91 is: 802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.21 : 1,777.08 = 534.91 : x
  2. Step 2: Convert to fraction form
    1,184.21/1,777.08 = 534.91/x
  3. Step 3: Cross multiply
    1,184.21x = 1,777.08 × 534.91
  4. Step 4: Simplify right side
    1,184.21x = 950,577.86
  5. Step 5: Solve for x
    x = 950,577.86/1,184.21
  6. Step 6: Final answer
    x = 802.71

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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.