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Finding the Fourth Proportional to 909.01, 1,254.45 and 536.28

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Solution

The fourth proportional to 909.01, 1,254.45 and 536.28 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.01 : 1,254.45 = 536.28 : x
  2. Step 2: Convert to fraction form
    909.01/1,254.45 = 536.28/x
  3. Step 3: Cross multiply
    909.01x = 1,254.45 × 536.28
  4. Step 4: Simplify right side
    909.01x = 672,736.45
  5. Step 5: Solve for x
    x = 672,736.45/909.01
  6. Step 6: Final answer
    x = 740.08

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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.