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Finding the Fourth Proportional to 962.37, 1,328.58 and 701.01

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Solution

The fourth proportional to 962.37, 1,328.58 and 701.01 is: 967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.37 : 1,328.58 = 701.01 : x
  2. Step 2: Convert to fraction form
    962.37/1,328.58 = 701.01/x
  3. Step 3: Cross multiply
    962.37x = 1,328.58 × 701.01
  4. Step 4: Simplify right side
    962.37x = 931,347.87
  5. Step 5: Solve for x
    x = 931,347.87/962.37
  6. Step 6: Final answer
    x = 967.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.