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Finding the Fourth Proportional to 1,135.36, 1,703.10 and 365.88

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Solution

The fourth proportional to 1,135.36, 1,703.10 and 365.88 is: 548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.36 : 1,703.10 = 365.88 : x
  2. Step 2: Convert to fraction form
    1,135.36/1,703.10 = 365.88/x
  3. Step 3: Cross multiply
    1,135.36x = 1,703.10 × 365.88
  4. Step 4: Simplify right side
    1,135.36x = 623,130.23
  5. Step 5: Solve for x
    x = 623,130.23/1,135.36
  6. Step 6: Final answer
    x = 548.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.