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Finding the Fourth Proportional to 1,131.42, 1,697.16 and 473.16

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Solution

The fourth proportional to 1,131.42, 1,697.16 and 473.16 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.42 : 1,697.16 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,131.42/1,697.16 = 473.16/x
  3. Step 3: Cross multiply
    1,131.42x = 1,697.16 × 473.16
  4. Step 4: Simplify right side
    1,131.42x = 803,028.23
  5. Step 5: Solve for x
    x = 803,028.23/1,131.42
  6. Step 6: Final answer
    x = 709.75

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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.