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Finding the Fourth Proportional to 1,130.14, 1,695.22 and 308.48

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Solution

The fourth proportional to 1,130.14, 1,695.22 and 308.48 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,695.22 = 308.48 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,695.22 = 308.48/x
  3. Step 3: Cross multiply
    1,130.14x = 1,695.22 × 308.48
  4. Step 4: Simplify right side
    1,130.14x = 522,941.47
  5. Step 5: Solve for x
    x = 522,941.47/1,130.14
  6. Step 6: Final answer
    x = 462.72

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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.