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Finding the Fourth Proportional to 990.61, 1,483.93 and 471.11

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Solution

The fourth proportional to 990.61, 1,483.93 and 471.11 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.61 : 1,483.93 = 471.11 : x
  2. Step 2: Convert to fraction form
    990.61/1,483.93 = 471.11/x
  3. Step 3: Cross multiply
    990.61x = 1,483.93 × 471.11
  4. Step 4: Simplify right side
    990.61x = 699,093.13
  5. Step 5: Solve for x
    x = 699,093.13/990.61
  6. Step 6: Final answer
    x = 705.72

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Why These Related Problems?

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