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Finding the Fourth Proportional to 1,184.55, 1,776.83 and 697.04

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Solution

The fourth proportional to 1,184.55, 1,776.83 and 697.04 is: 1,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.55 : 1,776.83 = 697.04 : x
  2. Step 2: Convert to fraction form
    1,184.55/1,776.83 = 697.04/x
  3. Step 3: Cross multiply
    1,184.55x = 1,776.83 × 697.04
  4. Step 4: Simplify right side
    1,184.55x = 1,238,521.58
  5. Step 5: Solve for x
    x = 1,238,521.58/1,184.55
  6. Step 6: Final answer
    x = 1,045.56

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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.