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Finding the Fourth Proportional to 1,135.95, 1,703.44 and 442.25

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Solution

The fourth proportional to 1,135.95, 1,703.44 and 442.25 is: 663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.95 : 1,703.44 = 442.25 : x
  2. Step 2: Convert to fraction form
    1,135.95/1,703.44 = 442.25/x
  3. Step 3: Cross multiply
    1,135.95x = 1,703.44 × 442.25
  4. Step 4: Simplify right side
    1,135.95x = 753,346.34
  5. Step 5: Solve for x
    x = 753,346.34/1,135.95
  6. Step 6: Final answer
    x = 663.19

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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.