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Finding the Fourth Proportional to 926.34, 1,389.54 and 277.08

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Solution

The fourth proportional to 926.34, 1,389.54 and 277.08 is: 415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.34 : 1,389.54 = 277.08 : x
  2. Step 2: Convert to fraction form
    926.34/1,389.54 = 277.08/x
  3. Step 3: Cross multiply
    926.34x = 1,389.54 × 277.08
  4. Step 4: Simplify right side
    926.34x = 385,013.74
  5. Step 5: Solve for x
    x = 385,013.74/926.34
  6. Step 6: Final answer
    x = 415.63

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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.