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Finding the Fourth Proportional to 703.13, 1,054.35 and 292.19

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Solution

The fourth proportional to 703.13, 1,054.35 and 292.19 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.13 : 1,054.35 = 292.19 : x
  2. Step 2: Convert to fraction form
    703.13/1,054.35 = 292.19/x
  3. Step 3: Cross multiply
    703.13x = 1,054.35 × 292.19
  4. Step 4: Simplify right side
    703.13x = 308,065.25
  5. Step 5: Solve for x
    x = 308,065.25/703.13
  6. Step 6: Final answer
    x = 438.14

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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.