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Finding the Fourth Proportional to 526.78, 793.98 and 497.01

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Solution

The fourth proportional to 526.78, 793.98 and 497.01 is: 749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 793.98 = 497.01 : x
  2. Step 2: Convert to fraction form
    526.78/793.98 = 497.01/x
  3. Step 3: Cross multiply
    526.78x = 793.98 × 497.01
  4. Step 4: Simplify right side
    526.78x = 394,616.00
  5. Step 5: Solve for x
    x = 394,616.00/526.78
  6. Step 6: Final answer
    x = 749.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.