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Finding the Fourth Proportional to 1,398.81, 1,929.74 and 926.58

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Solution

The fourth proportional to 1,398.81, 1,929.74 and 926.58 is: 1,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.81 : 1,929.74 = 926.58 : x
  2. Step 2: Convert to fraction form
    1,398.81/1,929.74 = 926.58/x
  3. Step 3: Cross multiply
    1,398.81x = 1,929.74 × 926.58
  4. Step 4: Simplify right side
    1,398.81x = 1,788,053.86
  5. Step 5: Solve for x
    x = 1,788,053.86/1,398.81
  6. Step 6: Final answer
    x = 1,278.27

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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.