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Finding the Fourth Proportional to 1,495.88, 2,243.64 and 400.36

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Solution

The fourth proportional to 1,495.88, 2,243.64 and 400.36 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.88 : 2,243.64 = 400.36 : x
  2. Step 2: Convert to fraction form
    1,495.88/2,243.64 = 400.36/x
  3. Step 3: Cross multiply
    1,495.88x = 2,243.64 × 400.36
  4. Step 4: Simplify right side
    1,495.88x = 898,263.71
  5. Step 5: Solve for x
    x = 898,263.71/1,495.88
  6. Step 6: Final answer
    x = 600.49

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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.