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Finding the Fourth Proportional to 1,263.71, 1,895.40 and 795.25

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Solution

The fourth proportional to 1,263.71, 1,895.40 and 795.25 is: 1,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.71 : 1,895.40 = 795.25 : x
  2. Step 2: Convert to fraction form
    1,263.71/1,895.40 = 795.25/x
  3. Step 3: Cross multiply
    1,263.71x = 1,895.40 × 795.25
  4. Step 4: Simplify right side
    1,263.71x = 1,507,309.13
  5. Step 5: Solve for x
    x = 1,507,309.13/1,263.71
  6. Step 6: Final answer
    x = 1,192.77

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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.