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Finding the Fourth Proportional to 990.51, 1,485.74 and 405.82

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Solution

The fourth proportional to 990.51, 1,485.74 and 405.82 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.51 : 1,485.74 = 405.82 : x
  2. Step 2: Convert to fraction form
    990.51/1,485.74 = 405.82/x
  3. Step 3: Cross multiply
    990.51x = 1,485.74 × 405.82
  4. Step 4: Simplify right side
    990.51x = 602,943.01
  5. Step 5: Solve for x
    x = 602,943.01/990.51
  6. Step 6: Final answer
    x = 608.72

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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.