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Finding the Fourth Proportional to 703.29, 1,054.76 and 209.58

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Solution

The fourth proportional to 703.29, 1,054.76 and 209.58 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.29 : 1,054.76 = 209.58 : x
  2. Step 2: Convert to fraction form
    703.29/1,054.76 = 209.58/x
  3. Step 3: Cross multiply
    703.29x = 1,054.76 × 209.58
  4. Step 4: Simplify right side
    703.29x = 221,059.51
  5. Step 5: Solve for x
    x = 221,059.51/703.29
  6. Step 6: Final answer
    x = 314.32

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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.