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Finding the Fourth Proportional to 710.72, 980.51 and 524.66

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Solution

The fourth proportional to 710.72, 980.51 and 524.66 is: 723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.72 : 980.51 = 524.66 : x
  2. Step 2: Convert to fraction form
    710.72/980.51 = 524.66/x
  3. Step 3: Cross multiply
    710.72x = 980.51 × 524.66
  4. Step 4: Simplify right side
    710.72x = 514,426.85
  5. Step 5: Solve for x
    x = 514,426.85/710.72
  6. Step 6: Final answer
    x = 723.81

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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.