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Finding the Fourth Proportional to 703.19, 1,055.35 and 497.96

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Solution

The fourth proportional to 703.19, 1,055.35 and 497.96 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.19 : 1,055.35 = 497.96 : x
  2. Step 2: Convert to fraction form
    703.19/1,055.35 = 497.96/x
  3. Step 3: Cross multiply
    703.19x = 1,055.35 × 497.96
  4. Step 4: Simplify right side
    703.19x = 525,516.81
  5. Step 5: Solve for x
    x = 525,516.81/703.19
  6. Step 6: Final answer
    x = 747.34

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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.