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Finding the Fourth Proportional to 1,263.04, 1,895.49 and 716.29

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Solution

The fourth proportional to 1,263.04, 1,895.49 and 716.29 is: 1,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.04 : 1,895.49 = 716.29 : x
  2. Step 2: Convert to fraction form
    1,263.04/1,895.49 = 716.29/x
  3. Step 3: Cross multiply
    1,263.04x = 1,895.49 × 716.29
  4. Step 4: Simplify right side
    1,263.04x = 1,357,720.53
  5. Step 5: Solve for x
    x = 1,357,720.53/1,263.04
  6. Step 6: Final answer
    x = 1,074.96

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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.