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Finding the Fourth Proportional to 713.63, 1,069.23 and 576.74

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Solution

The fourth proportional to 713.63, 1,069.23 and 576.74 is: 864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.63 : 1,069.23 = 576.74 : x
  2. Step 2: Convert to fraction form
    713.63/1,069.23 = 576.74/x
  3. Step 3: Cross multiply
    713.63x = 1,069.23 × 576.74
  4. Step 4: Simplify right side
    713.63x = 616,667.71
  5. Step 5: Solve for x
    x = 616,667.71/713.63
  6. Step 6: Final answer
    x = 864.13

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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.