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Finding the Fourth Proportional to 1,126.23, 1,688.70 and 346.02

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Solution

The fourth proportional to 1,126.23, 1,688.70 and 346.02 is: 518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.23 : 1,688.70 = 346.02 : x
  2. Step 2: Convert to fraction form
    1,126.23/1,688.70 = 346.02/x
  3. Step 3: Cross multiply
    1,126.23x = 1,688.70 × 346.02
  4. Step 4: Simplify right side
    1,126.23x = 584,323.97
  5. Step 5: Solve for x
    x = 584,323.97/1,126.23
  6. Step 6: Final answer
    x = 518.83

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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.