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Finding the Fourth Proportional to 694.61, 1,041.93 and 304.53

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Solution

The fourth proportional to 694.61, 1,041.93 and 304.53 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.61 : 1,041.93 = 304.53 : x
  2. Step 2: Convert to fraction form
    694.61/1,041.93 = 304.53/x
  3. Step 3: Cross multiply
    694.61x = 1,041.93 × 304.53
  4. Step 4: Simplify right side
    694.61x = 317,297.42
  5. Step 5: Solve for x
    x = 317,297.42/694.61
  6. Step 6: Final answer
    x = 456.80

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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.