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Finding the Fourth Proportional to 1,066.48, 1,598.68 and 655.73

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Solution

The fourth proportional to 1,066.48, 1,598.68 and 655.73 is: 982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.48 : 1,598.68 = 655.73 : x
  2. Step 2: Convert to fraction form
    1,066.48/1,598.68 = 655.73/x
  3. Step 3: Cross multiply
    1,066.48x = 1,598.68 × 655.73
  4. Step 4: Simplify right side
    1,066.48x = 1,048,299.16
  5. Step 5: Solve for x
    x = 1,048,299.16/1,066.48
  6. Step 6: Final answer
    x = 982.96

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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.