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Finding the Fourth Proportional to 990.79, 1,484.93 and 469.64

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Solution

The fourth proportional to 990.79, 1,484.93 and 469.64 is: 703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.79 : 1,484.93 = 469.64 : x
  2. Step 2: Convert to fraction form
    990.79/1,484.93 = 469.64/x
  3. Step 3: Cross multiply
    990.79x = 1,484.93 × 469.64
  4. Step 4: Simplify right side
    990.79x = 697,387.41
  5. Step 5: Solve for x
    x = 697,387.41/990.79
  6. Step 6: Final answer
    x = 703.87

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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.