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Finding the Fourth Proportional to 1,094.94, 1,642.17 and 314.77

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Solution

The fourth proportional to 1,094.94, 1,642.17 and 314.77 is: 472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.94 : 1,642.17 = 314.77 : x
  2. Step 2: Convert to fraction form
    1,094.94/1,642.17 = 314.77/x
  3. Step 3: Cross multiply
    1,094.94x = 1,642.17 × 314.77
  4. Step 4: Simplify right side
    1,094.94x = 516,897.20
  5. Step 5: Solve for x
    x = 516,897.20/1,094.94
  6. Step 6: Final answer
    x = 472.08

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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.