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Finding the Fourth Proportional to 703.82, 1,056.33 and 460.64

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Solution

The fourth proportional to 703.82, 1,056.33 and 460.64 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.82 : 1,056.33 = 460.64 : x
  2. Step 2: Convert to fraction form
    703.82/1,056.33 = 460.64/x
  3. Step 3: Cross multiply
    703.82x = 1,056.33 × 460.64
  4. Step 4: Simplify right side
    703.82x = 486,582.57
  5. Step 5: Solve for x
    x = 486,582.57/703.82
  6. Step 6: Final answer
    x = 691.35

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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.