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Finding the Fourth Proportional to 676.98, 931.91 and 510.93

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Solution

The fourth proportional to 676.98, 931.91 and 510.93 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 931.91 = 510.93 : x
  2. Step 2: Convert to fraction form
    676.98/931.91 = 510.93/x
  3. Step 3: Cross multiply
    676.98x = 931.91 × 510.93
  4. Step 4: Simplify right side
    676.98x = 476,138.22
  5. Step 5: Solve for x
    x = 476,138.22/676.98
  6. Step 6: Final answer
    x = 703.33

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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.