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Finding the Fourth Proportional to 1,264.16, 1,896.51 and 716.60

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Solution

The fourth proportional to 1,264.16, 1,896.51 and 716.60 is: 1,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.16 : 1,896.51 = 716.60 : x
  2. Step 2: Convert to fraction form
    1,264.16/1,896.51 = 716.60/x
  3. Step 3: Cross multiply
    1,264.16x = 1,896.51 × 716.60
  4. Step 4: Simplify right side
    1,264.16x = 1,359,039.07
  5. Step 5: Solve for x
    x = 1,359,039.07/1,264.16
  6. Step 6: Final answer
    x = 1,075.05

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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.