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Finding the Fourth Proportional to 703.64, 1,055.34 and 292.70

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Solution

The fourth proportional to 703.64, 1,055.34 and 292.70 is: 439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 1,055.34 = 292.70 : x
  2. Step 2: Convert to fraction form
    703.64/1,055.34 = 292.70/x
  3. Step 3: Cross multiply
    703.64x = 1,055.34 × 292.70
  4. Step 4: Simplify right side
    703.64x = 308,898.02
  5. Step 5: Solve for x
    x = 308,898.02/703.64
  6. Step 6: Final answer
    x = 439.00

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