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Finding the Fourth Proportional to 900.47, 1,346.98 and 822.86

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Solution

The fourth proportional to 900.47, 1,346.98 and 822.86 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.47 : 1,346.98 = 822.86 : x
  2. Step 2: Convert to fraction form
    900.47/1,346.98 = 822.86/x
  3. Step 3: Cross multiply
    900.47x = 1,346.98 × 822.86
  4. Step 4: Simplify right side
    900.47x = 1,108,373.76
  5. Step 5: Solve for x
    x = 1,108,373.76/900.47
  6. Step 6: Final answer
    x = 1,230.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.