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Finding the Fourth Proportional to 990.52, 1,485.84 and 477.52

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Solution

The fourth proportional to 990.52, 1,485.84 and 477.52 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.52 : 1,485.84 = 477.52 : x
  2. Step 2: Convert to fraction form
    990.52/1,485.84 = 477.52/x
  3. Step 3: Cross multiply
    990.52x = 1,485.84 × 477.52
  4. Step 4: Simplify right side
    990.52x = 709,518.32
  5. Step 5: Solve for x
    x = 709,518.32/990.52
  6. Step 6: Final answer
    x = 716.31

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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.