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Finding the Fourth Proportional to 1,328.06, 1,987.44 and 937.16

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Solution

The fourth proportional to 1,328.06, 1,987.44 and 937.16 is: 1,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.06 : 1,987.44 = 937.16 : x
  2. Step 2: Convert to fraction form
    1,328.06/1,987.44 = 937.16/x
  3. Step 3: Cross multiply
    1,328.06x = 1,987.44 × 937.16
  4. Step 4: Simplify right side
    1,328.06x = 1,862,549.27
  5. Step 5: Solve for x
    x = 1,862,549.27/1,328.06
  6. Step 6: Final answer
    x = 1,402.46

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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.