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Finding the Fourth Proportional to 753.86, 1,129.58 and 536.38

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Solution

The fourth proportional to 753.86, 1,129.58 and 536.38 is: 803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.86 : 1,129.58 = 536.38 : x
  2. Step 2: Convert to fraction form
    753.86/1,129.58 = 536.38/x
  3. Step 3: Cross multiply
    753.86x = 1,129.58 × 536.38
  4. Step 4: Simplify right side
    753.86x = 605,875.79
  5. Step 5: Solve for x
    x = 605,875.79/753.86
  6. Step 6: Final answer
    x = 803.70

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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.