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Finding the Fourth Proportional to 700.32, 1,052.81 and 496.35

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Solution

The fourth proportional to 700.32, 1,052.81 and 496.35 is: 746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 1,052.81 = 496.35 : x
  2. Step 2: Convert to fraction form
    700.32/1,052.81 = 496.35/x
  3. Step 3: Cross multiply
    700.32x = 1,052.81 × 496.35
  4. Step 4: Simplify right side
    700.32x = 522,562.24
  5. Step 5: Solve for x
    x = 522,562.24/700.32
  6. Step 6: Final answer
    x = 746.18

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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.