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Finding the Fourth Proportional to 890.61, 1,228.82 and 497.63

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Solution

The fourth proportional to 890.61, 1,228.82 and 497.63 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.61 : 1,228.82 = 497.63 : x
  2. Step 2: Convert to fraction form
    890.61/1,228.82 = 497.63/x
  3. Step 3: Cross multiply
    890.61x = 1,228.82 × 497.63
  4. Step 4: Simplify right side
    890.61x = 611,489.06
  5. Step 5: Solve for x
    x = 611,489.06/890.61
  6. Step 6: Final answer
    x = 686.60

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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.