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Finding the Fourth Proportional to 703.13, 1,054.50 and 264.35

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Solution

The fourth proportional to 703.13, 1,054.50 and 264.35 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 1,054.50 = 264.35 : x
  2. Step 2: Convert to fraction form
    703.13/1,054.50 = 264.35/x
  3. Step 3: Cross multiply
    703.13x = 1,054.50 × 264.35
  4. Step 4: Simplify right side
    703.13x = 278,754.28
  5. Step 5: Solve for x
    x = 278,754.28/703.13
  6. Step 6: Final answer
    x = 396.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.