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Finding the Fourth Proportional to 651.51, 976.13 and 542.52

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Solution

The fourth proportional to 651.51, 976.13 and 542.52 is: 812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.51 : 976.13 = 542.52 : x
  2. Step 2: Convert to fraction form
    651.51/976.13 = 542.52/x
  3. Step 3: Cross multiply
    651.51x = 976.13 × 542.52
  4. Step 4: Simplify right side
    651.51x = 529,570.59
  5. Step 5: Solve for x
    x = 529,570.59/651.51
  6. Step 6: Final answer
    x = 812.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.