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Finding the Fourth Proportional to 711.76, 982.13 and 432.00

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Solution

The fourth proportional to 711.76, 982.13 and 432.00 is: 596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 982.13 = 432.00 : x
  2. Step 2: Convert to fraction form
    711.76/982.13 = 432.00/x
  3. Step 3: Cross multiply
    711.76x = 982.13 × 432.00
  4. Step 4: Simplify right side
    711.76x = 424,283.30
  5. Step 5: Solve for x
    x = 424,283.30/711.76
  6. Step 6: Final answer
    x = 596.11

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1.5x scale

Why These Related Problems?

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