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Finding the Fourth Proportional to 962.04, 1,441.74 and 700.50

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Solution

The fourth proportional to 962.04, 1,441.74 and 700.50 is: 1,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.04 : 1,441.74 = 700.50 : x
  2. Step 2: Convert to fraction form
    962.04/1,441.74 = 700.50/x
  3. Step 3: Cross multiply
    962.04x = 1,441.74 × 700.50
  4. Step 4: Simplify right side
    962.04x = 1,009,938.87
  5. Step 5: Solve for x
    x = 1,009,938.87/962.04
  6. Step 6: Final answer
    x = 1,049.79

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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.