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Finding the Fourth Proportional to 890.64, 1,228.95 and 497.61

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Solution

The fourth proportional to 890.64, 1,228.95 and 497.61 is: 686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,228.95 = 497.61 : x
  2. Step 2: Convert to fraction form
    890.64/1,228.95 = 497.61/x
  3. Step 3: Cross multiply
    890.64x = 1,228.95 × 497.61
  4. Step 4: Simplify right side
    890.64x = 611,537.81
  5. Step 5: Solve for x
    x = 611,537.81/890.64
  6. Step 6: Final answer
    x = 686.63

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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.