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Finding the Fourth Proportional to 711.79, 981.92 and 432.03

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Solution

The fourth proportional to 711.79, 981.92 and 432.03 is: 596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.79 : 981.92 = 432.03 : x
  2. Step 2: Convert to fraction form
    711.79/981.92 = 432.03/x
  3. Step 3: Cross multiply
    711.79x = 981.92 × 432.03
  4. Step 4: Simplify right side
    711.79x = 424,223.66
  5. Step 5: Solve for x
    x = 424,223.66/711.79
  6. Step 6: Final answer
    x = 596.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.