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Finding the Fourth Proportional to 1,130.42, 1,695.38 and 308.70

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Solution

The fourth proportional to 1,130.42, 1,695.38 and 308.70 is: 462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.42 : 1,695.38 = 308.70 : x
  2. Step 2: Convert to fraction form
    1,130.42/1,695.38 = 308.70/x
  3. Step 3: Cross multiply
    1,130.42x = 1,695.38 × 308.70
  4. Step 4: Simplify right side
    1,130.42x = 523,362.26
  5. Step 5: Solve for x
    x = 523,362.26/1,130.42
  6. Step 6: Final answer
    x = 462.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.