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Finding the Fourth Proportional to 1,135.76, 1,703.62 and 366.26

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Solution

The fourth proportional to 1,135.76, 1,703.62 and 366.26 is: 549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.76 : 1,703.62 = 366.26 : x
  2. Step 2: Convert to fraction form
    1,135.76/1,703.62 = 366.26/x
  3. Step 3: Cross multiply
    1,135.76x = 1,703.62 × 366.26
  4. Step 4: Simplify right side
    1,135.76x = 623,967.86
  5. Step 5: Solve for x
    x = 623,967.86/1,135.76
  6. Step 6: Final answer
    x = 549.38

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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.