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Finding the Fourth Proportional to 543.02, 813.26 and 524.84

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Solution

The fourth proportional to 543.02, 813.26 and 524.84 is: 786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.02 : 813.26 = 524.84 : x
  2. Step 2: Convert to fraction form
    543.02/813.26 = 524.84/x
  3. Step 3: Cross multiply
    543.02x = 813.26 × 524.84
  4. Step 4: Simplify right side
    543.02x = 426,831.38
  5. Step 5: Solve for x
    x = 426,831.38/543.02
  6. Step 6: Final answer
    x = 786.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.