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Finding the Fourth Proportional to 657.20, 906.90 and 509.96

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Solution

The fourth proportional to 657.20, 906.90 and 509.96 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 906.90 = 509.96 : x
  2. Step 2: Convert to fraction form
    657.20/906.90 = 509.96/x
  3. Step 3: Cross multiply
    657.20x = 906.90 × 509.96
  4. Step 4: Simplify right side
    657.20x = 462,482.72
  5. Step 5: Solve for x
    x = 462,482.72/657.20
  6. Step 6: Final answer
    x = 703.72

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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.