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Finding the Fourth Proportional to 1,495.66, 2,064.01 and 832.67

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Solution

The fourth proportional to 1,495.66, 2,064.01 and 832.67 is: 1,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.66 : 2,064.01 = 832.67 : x
  2. Step 2: Convert to fraction form
    1,495.66/2,064.01 = 832.67/x
  3. Step 3: Cross multiply
    1,495.66x = 2,064.01 × 832.67
  4. Step 4: Simplify right side
    1,495.66x = 1,718,626.80
  5. Step 5: Solve for x
    x = 1,718,626.80/1,495.66
  6. Step 6: Final answer
    x = 1,149.08

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Why These Related Problems?

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