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Finding the Fourth Proportional to 890.61, 1,228.98 and 497.61

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Solution

The fourth proportional to 890.61, 1,228.98 and 497.61 is: 686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.61 : 1,228.98 = 497.61 : x
  2. Step 2: Convert to fraction form
    890.61/1,228.98 = 497.61/x
  3. Step 3: Cross multiply
    890.61x = 1,228.98 × 497.61
  4. Step 4: Simplify right side
    890.61x = 611,552.74
  5. Step 5: Solve for x
    x = 611,552.74/890.61
  6. Step 6: Final answer
    x = 686.67

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