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Finding the Fourth Proportional to 926.22, 1,389.14 and 277.06

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Solution

The fourth proportional to 926.22, 1,389.14 and 277.06 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.22 : 1,389.14 = 277.06 : x
  2. Step 2: Convert to fraction form
    926.22/1,389.14 = 277.06/x
  3. Step 3: Cross multiply
    926.22x = 1,389.14 × 277.06
  4. Step 4: Simplify right side
    926.22x = 384,875.13
  5. Step 5: Solve for x
    x = 384,875.13/926.22
  6. Step 6: Final answer
    x = 415.53

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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.