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Finding the Fourth Proportional to 926.60, 1,390.14 and 277.34

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Solution

The fourth proportional to 926.60, 1,390.14 and 277.34 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.60 : 1,390.14 = 277.34 : x
  2. Step 2: Convert to fraction form
    926.60/1,390.14 = 277.34/x
  3. Step 3: Cross multiply
    926.60x = 1,390.14 × 277.34
  4. Step 4: Simplify right side
    926.60x = 385,541.43
  5. Step 5: Solve for x
    x = 385,541.43/926.60
  6. Step 6: Final answer
    x = 416.08

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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.