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Finding the Fourth Proportional to 937.22, 1,398.54 and 929.02

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Solution

The fourth proportional to 937.22, 1,398.54 and 929.02 is: 1,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.22 : 1,398.54 = 929.02 : x
  2. Step 2: Convert to fraction form
    937.22/1,398.54 = 929.02/x
  3. Step 3: Cross multiply
    937.22x = 1,398.54 × 929.02
  4. Step 4: Simplify right side
    937.22x = 1,299,271.63
  5. Step 5: Solve for x
    x = 1,299,271.63/937.22
  6. Step 6: Final answer
    x = 1,386.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.