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Finding the Fourth Proportional to 713.54, 1,069 and 598.72

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Solution

The fourth proportional to 713.54, 1,069 and 598.72 is: 896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.54 : 1,069 = 598.72 : x
  2. Step 2: Convert to fraction form
    713.54/1,069 = 598.72/x
  3. Step 3: Cross multiply
    713.54x = 1,069 × 598.72
  4. Step 4: Simplify right side
    713.54x = 640,031.68
  5. Step 5: Solve for x
    x = 640,031.68/713.54
  6. Step 6: Final answer
    x = 896.98

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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.