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Finding the Fourth Proportional to 1,126.75, 1,690.40 and 357.25

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Solution

The fourth proportional to 1,126.75, 1,690.40 and 357.25 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.75 : 1,690.40 = 357.25 : x
  2. Step 2: Convert to fraction form
    1,126.75/1,690.40 = 357.25/x
  3. Step 3: Cross multiply
    1,126.75x = 1,690.40 × 357.25
  4. Step 4: Simplify right side
    1,126.75x = 603,895.40
  5. Step 5: Solve for x
    x = 603,895.40/1,126.75
  6. Step 6: Final answer
    x = 535.96

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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.