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Finding the Fourth Proportional to 709.92, 978.48 and 651.06

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Solution

The fourth proportional to 709.92, 978.48 and 651.06 is: 897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 978.48 = 651.06 : x
  2. Step 2: Convert to fraction form
    709.92/978.48 = 651.06/x
  3. Step 3: Cross multiply
    709.92x = 978.48 × 651.06
  4. Step 4: Simplify right side
    709.92x = 637,049.19
  5. Step 5: Solve for x
    x = 637,049.19/709.92
  6. Step 6: Final answer
    x = 897.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.