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Finding the Fourth Proportional to 657.42, 907.03 and 509.80

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Solution

The fourth proportional to 657.42, 907.03 and 509.80 is: 703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 907.03 = 509.80 : x
  2. Step 2: Convert to fraction form
    657.42/907.03 = 509.80/x
  3. Step 3: Cross multiply
    657.42x = 907.03 × 509.80
  4. Step 4: Simplify right side
    657.42x = 462,403.89
  5. Step 5: Solve for x
    x = 462,403.89/657.42
  6. Step 6: Final answer
    x = 703.36

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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.