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Finding the Fourth Proportional to 703.22, 1,055.16 and 313.18

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Solution

The fourth proportional to 703.22, 1,055.16 and 313.18 is: 469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.22 : 1,055.16 = 313.18 : x
  2. Step 2: Convert to fraction form
    703.22/1,055.16 = 313.18/x
  3. Step 3: Cross multiply
    703.22x = 1,055.16 × 313.18
  4. Step 4: Simplify right side
    703.22x = 330,455.01
  5. Step 5: Solve for x
    x = 330,455.01/703.22
  6. Step 6: Final answer
    x = 469.92

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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.