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Finding the Fourth Proportional to 1,002.83, 1,383.51 and 610.08

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Solution

The fourth proportional to 1,002.83, 1,383.51 and 610.08 is: 841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.83 : 1,383.51 = 610.08 : x
  2. Step 2: Convert to fraction form
    1,002.83/1,383.51 = 610.08/x
  3. Step 3: Cross multiply
    1,002.83x = 1,383.51 × 610.08
  4. Step 4: Simplify right side
    1,002.83x = 844,051.52
  5. Step 5: Solve for x
    x = 844,051.52/1,002.83
  6. Step 6: Final answer
    x = 841.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.