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Finding the Fourth Proportional to 711.03, 1,066.58 and 346.13

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Solution

The fourth proportional to 711.03, 1,066.58 and 346.13 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.03 : 1,066.58 = 346.13 : x
  2. Step 2: Convert to fraction form
    711.03/1,066.58 = 346.13/x
  3. Step 3: Cross multiply
    711.03x = 1,066.58 × 346.13
  4. Step 4: Simplify right side
    711.03x = 369,168.27
  5. Step 5: Solve for x
    x = 369,168.27/711.03
  6. Step 6: Final answer
    x = 519.20

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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.