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Finding the Fourth Proportional to 657.95, 988.28 and 521.94

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Solution

The fourth proportional to 657.95, 988.28 and 521.94 is: 784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 988.28 = 521.94 : x
  2. Step 2: Convert to fraction form
    657.95/988.28 = 521.94/x
  3. Step 3: Cross multiply
    657.95x = 988.28 × 521.94
  4. Step 4: Simplify right side
    657.95x = 515,828.85
  5. Step 5: Solve for x
    x = 515,828.85/657.95
  6. Step 6: Final answer
    x = 784.00

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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.