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Finding the Fourth Proportional to 795.65, 1,193.74 and 410.63

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Solution

The fourth proportional to 795.65, 1,193.74 and 410.63 is: 616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.65 : 1,193.74 = 410.63 : x
  2. Step 2: Convert to fraction form
    795.65/1,193.74 = 410.63/x
  3. Step 3: Cross multiply
    795.65x = 1,193.74 × 410.63
  4. Step 4: Simplify right side
    795.65x = 490,178.46
  5. Step 5: Solve for x
    x = 490,178.46/795.65
  6. Step 6: Final answer
    x = 616.08

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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.