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Finding the Fourth Proportional to 1,134.93, 1,702.02 and 365.25

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Solution

The fourth proportional to 1,134.93, 1,702.02 and 365.25 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.93 : 1,702.02 = 365.25 : x
  2. Step 2: Convert to fraction form
    1,134.93/1,702.02 = 365.25/x
  3. Step 3: Cross multiply
    1,134.93x = 1,702.02 × 365.25
  4. Step 4: Simplify right side
    1,134.93x = 621,662.81
  5. Step 5: Solve for x
    x = 621,662.81/1,134.93
  6. Step 6: Final answer
    x = 547.75

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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.