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Finding the Fourth Proportional to 1,397.09, 1,927.90 and 837.85

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Solution

The fourth proportional to 1,397.09, 1,927.90 and 837.85 is: 1,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.09 : 1,927.90 = 837.85 : x
  2. Step 2: Convert to fraction form
    1,397.09/1,927.90 = 837.85/x
  3. Step 3: Cross multiply
    1,397.09x = 1,927.90 × 837.85
  4. Step 4: Simplify right side
    1,397.09x = 1,615,291.02
  5. Step 5: Solve for x
    x = 1,615,291.02/1,397.09
  6. Step 6: Final answer
    x = 1,156.18

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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.