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Finding the Fourth Proportional to 1,588.64, 2,382.36 and 766.64

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Solution

The fourth proportional to 1,588.64, 2,382.36 and 766.64 is: 1,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.64 : 2,382.36 = 766.64 : x
  2. Step 2: Convert to fraction form
    1,588.64/2,382.36 = 766.64/x
  3. Step 3: Cross multiply
    1,588.64x = 2,382.36 × 766.64
  4. Step 4: Simplify right side
    1,588.64x = 1,826,412.47
  5. Step 5: Solve for x
    x = 1,826,412.47/1,588.64
  6. Step 6: Final answer
    x = 1,149.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.