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Finding the Fourth Proportional to 1,132.03, 1,697.64 and 646.03

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Solution

The fourth proportional to 1,132.03, 1,697.64 and 646.03 is: 968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.03 : 1,697.64 = 646.03 : x
  2. Step 2: Convert to fraction form
    1,132.03/1,697.64 = 646.03/x
  3. Step 3: Cross multiply
    1,132.03x = 1,697.64 × 646.03
  4. Step 4: Simplify right side
    1,132.03x = 1,096,726.37
  5. Step 5: Solve for x
    x = 1,096,726.37/1,132.03
  6. Step 6: Final answer
    x = 968.81

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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.