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Finding the Fourth Proportional to 946.65, 1,417.58 and 792.20

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Solution

The fourth proportional to 946.65, 1,417.58 and 792.20 is: 1,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.65 : 1,417.58 = 792.20 : x
  2. Step 2: Convert to fraction form
    946.65/1,417.58 = 792.20/x
  3. Step 3: Cross multiply
    946.65x = 1,417.58 × 792.20
  4. Step 4: Simplify right side
    946.65x = 1,123,005.91
  5. Step 5: Solve for x
    x = 1,123,005.91/946.65
  6. Step 6: Final answer
    x = 1,186.29

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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.