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Finding the Fourth Proportional to 703.94, 1,055.06 and 498.57

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Solution

The fourth proportional to 703.94, 1,055.06 and 498.57 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.94 : 1,055.06 = 498.57 : x
  2. Step 2: Convert to fraction form
    703.94/1,055.06 = 498.57/x
  3. Step 3: Cross multiply
    703.94x = 1,055.06 × 498.57
  4. Step 4: Simplify right side
    703.94x = 526,021.26
  5. Step 5: Solve for x
    x = 526,021.26/703.94
  6. Step 6: Final answer
    x = 747.25

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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.