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Finding the Fourth Proportional to 962.53, 1,441.27 and 746.29

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Solution

The fourth proportional to 962.53, 1,441.27 and 746.29 is: 1,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.53 : 1,441.27 = 746.29 : x
  2. Step 2: Convert to fraction form
    962.53/1,441.27 = 746.29/x
  3. Step 3: Cross multiply
    962.53x = 1,441.27 × 746.29
  4. Step 4: Simplify right side
    962.53x = 1,075,596.32
  5. Step 5: Solve for x
    x = 1,075,596.32/962.53
  6. Step 6: Final answer
    x = 1,117.47

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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.