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Finding the Fourth Proportional to 864.51, 1,296.84 and 474.35

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Solution

The fourth proportional to 864.51, 1,296.84 and 474.35 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.51 : 1,296.84 = 474.35 : x
  2. Step 2: Convert to fraction form
    864.51/1,296.84 = 474.35/x
  3. Step 3: Cross multiply
    864.51x = 1,296.84 × 474.35
  4. Step 4: Simplify right side
    864.51x = 615,149.57
  5. Step 5: Solve for x
    x = 615,149.57/864.51
  6. Step 6: Final answer
    x = 711.56

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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.