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Finding the Fourth Proportional to 909.23, 1,254.57 and 555.07

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Solution

The fourth proportional to 909.23, 1,254.57 and 555.07 is: 765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.23 : 1,254.57 = 555.07 : x
  2. Step 2: Convert to fraction form
    909.23/1,254.57 = 555.07/x
  3. Step 3: Cross multiply
    909.23x = 1,254.57 × 555.07
  4. Step 4: Simplify right side
    909.23x = 696,374.17
  5. Step 5: Solve for x
    x = 696,374.17/909.23
  6. Step 6: Final answer
    x = 765.89

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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.