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Finding the Fourth Proportional to 1,135.93, 1,703.52 and 366.25

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Solution

The fourth proportional to 1,135.93, 1,703.52 and 366.25 is: 549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.93 : 1,703.52 = 366.25 : x
  2. Step 2: Convert to fraction form
    1,135.93/1,703.52 = 366.25/x
  3. Step 3: Cross multiply
    1,135.93x = 1,703.52 × 366.25
  4. Step 4: Simplify right side
    1,135.93x = 623,914.20
  5. Step 5: Solve for x
    x = 623,914.20/1,135.93
  6. Step 6: Final answer
    x = 549.25

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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.