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Finding the Fourth Proportional to 1,500.67, 2,071.04 and 828.60

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Solution

The fourth proportional to 1,500.67, 2,071.04 and 828.60 is: 1,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.67 : 2,071.04 = 828.60 : x
  2. Step 2: Convert to fraction form
    1,500.67/2,071.04 = 828.60/x
  3. Step 3: Cross multiply
    1,500.67x = 2,071.04 × 828.60
  4. Step 4: Simplify right side
    1,500.67x = 1,716,064.65
  5. Step 5: Solve for x
    x = 1,716,064.65/1,500.67
  6. Step 6: Final answer
    x = 1,143.53

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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.