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Finding the Fourth Proportional to 657.02, 906.84 and 514.94

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Solution

The fourth proportional to 657.02, 906.84 and 514.94 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 906.84 = 514.94 : x
  2. Step 2: Convert to fraction form
    657.02/906.84 = 514.94/x
  3. Step 3: Cross multiply
    657.02x = 906.84 × 514.94
  4. Step 4: Simplify right side
    657.02x = 466,968.19
  5. Step 5: Solve for x
    x = 466,968.19/657.02
  6. Step 6: Final answer
    x = 710.74

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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.