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Finding the Fourth Proportional to 704.40, 971.66 and 518.38

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Solution

The fourth proportional to 704.40, 971.66 and 518.38 is: 715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 971.66 = 518.38 : x
  2. Step 2: Convert to fraction form
    704.40/971.66 = 518.38/x
  3. Step 3: Cross multiply
    704.40x = 971.66 × 518.38
  4. Step 4: Simplify right side
    704.40x = 503,689.11
  5. Step 5: Solve for x
    x = 503,689.11/704.40
  6. Step 6: Final answer
    x = 715.06

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1.5x scale

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.