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Finding the Fourth Proportional to 606.90, 907.65 and 509.70

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Solution

The fourth proportional to 606.90, 907.65 and 509.70 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 907.65 = 509.70 : x
  2. Step 2: Convert to fraction form
    606.90/907.65 = 509.70/x
  3. Step 3: Cross multiply
    606.90x = 907.65 × 509.70
  4. Step 4: Simplify right side
    606.90x = 462,629.21
  5. Step 5: Solve for x
    x = 462,629.21/606.90
  6. Step 6: Final answer
    x = 762.28

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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.