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Finding the Fourth Proportional to 1,064.36, 1,585.85 and 1,004.67

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Solution

The fourth proportional to 1,064.36, 1,585.85 and 1,004.67 is: 1,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.36 : 1,585.85 = 1,004.67 : x
  2. Step 2: Convert to fraction form
    1,064.36/1,585.85 = 1,004.67/x
  3. Step 3: Cross multiply
    1,064.36x = 1,585.85 × 1,004.67
  4. Step 4: Simplify right side
    1,064.36x = 1,593,250.90
  5. Step 5: Solve for x
    x = 1,593,250.90/1,064.36
  6. Step 6: Final answer
    x = 1,496.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.