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Finding the Fourth Proportional to 1,506.94, 2,260.40 and 990.20

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Solution

The fourth proportional to 1,506.94, 2,260.40 and 990.20 is: 1,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 2,260.40 = 990.20 : x
  2. Step 2: Convert to fraction form
    1,506.94/2,260.40 = 990.20/x
  3. Step 3: Cross multiply
    1,506.94x = 2,260.40 × 990.20
  4. Step 4: Simplify right side
    1,506.94x = 2,238,248.08
  5. Step 5: Solve for x
    x = 2,238,248.08/1,506.94
  6. Step 6: Final answer
    x = 1,485.29

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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.