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Finding the Fourth Proportional to 890.42, 1,228.74 and 497.42

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Solution

The fourth proportional to 890.42, 1,228.74 and 497.42 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.42 : 1,228.74 = 497.42 : x
  2. Step 2: Convert to fraction form
    890.42/1,228.74 = 497.42/x
  3. Step 3: Cross multiply
    890.42x = 1,228.74 × 497.42
  4. Step 4: Simplify right side
    890.42x = 611,199.85
  5. Step 5: Solve for x
    x = 611,199.85/890.42
  6. Step 6: Final answer
    x = 686.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.