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Finding the Fourth Proportional to 753.54, 1,130.66 and 342.60

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Solution

The fourth proportional to 753.54, 1,130.66 and 342.60 is: 514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.54 : 1,130.66 = 342.60 : x
  2. Step 2: Convert to fraction form
    753.54/1,130.66 = 342.60/x
  3. Step 3: Cross multiply
    753.54x = 1,130.66 × 342.60
  4. Step 4: Simplify right side
    753.54x = 387,364.12
  5. Step 5: Solve for x
    x = 387,364.12/753.54
  6. Step 6: Final answer
    x = 514.06

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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.