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Finding the Fourth Proportional to 909.07, 1,254.59 and 510.78

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Solution

The fourth proportional to 909.07, 1,254.59 and 510.78 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.07 : 1,254.59 = 510.78 : x
  2. Step 2: Convert to fraction form
    909.07/1,254.59 = 510.78/x
  3. Step 3: Cross multiply
    909.07x = 1,254.59 × 510.78
  4. Step 4: Simplify right side
    909.07x = 640,820.02
  5. Step 5: Solve for x
    x = 640,820.02/909.07
  6. Step 6: Final answer
    x = 704.92

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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.