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Finding the Fourth Proportional to 1,077.38, 1,616.35 and 583.67

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Solution

The fourth proportional to 1,077.38, 1,616.35 and 583.67 is: 875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.38 : 1,616.35 = 583.67 : x
  2. Step 2: Convert to fraction form
    1,077.38/1,616.35 = 583.67/x
  3. Step 3: Cross multiply
    1,077.38x = 1,616.35 × 583.67
  4. Step 4: Simplify right side
    1,077.38x = 943,409.64
  5. Step 5: Solve for x
    x = 943,409.64/1,077.38
  6. Step 6: Final answer
    x = 875.66

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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.