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Finding the Fourth Proportional to 1,490.40, 2,234.01 and 612.51

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Solution

The fourth proportional to 1,490.40, 2,234.01 and 612.51 is: 918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.40 : 2,234.01 = 612.51 : x
  2. Step 2: Convert to fraction form
    1,490.40/2,234.01 = 612.51/x
  3. Step 3: Cross multiply
    1,490.40x = 2,234.01 × 612.51
  4. Step 4: Simplify right side
    1,490.40x = 1,368,353.47
  5. Step 5: Solve for x
    x = 1,368,353.47/1,490.40
  6. Step 6: Final answer
    x = 918.11

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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.