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Finding the Fourth Proportional to 903.45, 1,247.34 and 738.06

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Solution

The fourth proportional to 903.45, 1,247.34 and 738.06 is: 1,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.45 : 1,247.34 = 738.06 : x
  2. Step 2: Convert to fraction form
    903.45/1,247.34 = 738.06/x
  3. Step 3: Cross multiply
    903.45x = 1,247.34 × 738.06
  4. Step 4: Simplify right side
    903.45x = 920,611.76
  5. Step 5: Solve for x
    x = 920,611.76/903.45
  6. Step 6: Final answer
    x = 1,019.00

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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.