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Finding the Fourth Proportional to 909.06, 1,254.76 and 761.46

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Solution

The fourth proportional to 909.06, 1,254.76 and 761.46 is: 1,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.06 : 1,254.76 = 761.46 : x
  2. Step 2: Convert to fraction form
    909.06/1,254.76 = 761.46/x
  3. Step 3: Cross multiply
    909.06x = 1,254.76 × 761.46
  4. Step 4: Simplify right side
    909.06x = 955,449.55
  5. Step 5: Solve for x
    x = 955,449.55/909.06
  6. Step 6: Final answer
    x = 1,051.03

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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.