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Finding the Fourth Proportional to 697.04, 1,045.48 and 184.08

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Solution

The fourth proportional to 697.04, 1,045.48 and 184.08 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 1,045.48 = 184.08 : x
  2. Step 2: Convert to fraction form
    697.04/1,045.48 = 184.08/x
  3. Step 3: Cross multiply
    697.04x = 1,045.48 × 184.08
  4. Step 4: Simplify right side
    697.04x = 192,451.96
  5. Step 5: Solve for x
    x = 192,451.96/697.04
  6. Step 6: Final answer
    x = 276.10

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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.