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Finding the Fourth Proportional to 1,398.23, 1,929.60 and 926.94

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Solution

The fourth proportional to 1,398.23, 1,929.60 and 926.94 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.23 : 1,929.60 = 926.94 : x
  2. Step 2: Convert to fraction form
    1,398.23/1,929.60 = 926.94/x
  3. Step 3: Cross multiply
    1,398.23x = 1,929.60 × 926.94
  4. Step 4: Simplify right side
    1,398.23x = 1,788,623.42
  5. Step 5: Solve for x
    x = 1,788,623.42/1,398.23
  6. Step 6: Final answer
    x = 1,279.21

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1.5x scale

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.