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Finding the Fourth Proportional to 1,134.94, 1,701.74 and 354.74

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Solution

The fourth proportional to 1,134.94, 1,701.74 and 354.74 is: 531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.94 : 1,701.74 = 354.74 : x
  2. Step 2: Convert to fraction form
    1,134.94/1,701.74 = 354.74/x
  3. Step 3: Cross multiply
    1,134.94x = 1,701.74 × 354.74
  4. Step 4: Simplify right side
    1,134.94x = 603,675.25
  5. Step 5: Solve for x
    x = 603,675.25/1,134.94
  6. Step 6: Final answer
    x = 531.90

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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.