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Finding the Fourth Proportional to 711.86, 981.74 and 545.67

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Solution

The fourth proportional to 711.86, 981.74 and 545.67 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 981.74 = 545.67 : x
  2. Step 2: Convert to fraction form
    711.86/981.74 = 545.67/x
  3. Step 3: Cross multiply
    711.86x = 981.74 × 545.67
  4. Step 4: Simplify right side
    711.86x = 535,703.34
  5. Step 5: Solve for x
    x = 535,703.34/711.86
  6. Step 6: Final answer
    x = 752.55

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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.