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Finding the Fourth Proportional to 1,196.34, 1,794.65 and 318.88

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Solution

The fourth proportional to 1,196.34, 1,794.65 and 318.88 is: 478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.34 : 1,794.65 = 318.88 : x
  2. Step 2: Convert to fraction form
    1,196.34/1,794.65 = 318.88/x
  3. Step 3: Cross multiply
    1,196.34x = 1,794.65 × 318.88
  4. Step 4: Simplify right side
    1,196.34x = 572,271.91
  5. Step 5: Solve for x
    x = 572,271.91/1,196.34
  6. Step 6: Final answer
    x = 478.35

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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.