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Finding the Fourth Proportional to 651.68, 976.10 and 497.88

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Solution

The fourth proportional to 651.68, 976.10 and 497.88 is: 745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 976.10 = 497.88 : x
  2. Step 2: Convert to fraction form
    651.68/976.10 = 497.88/x
  3. Step 3: Cross multiply
    651.68x = 976.10 × 497.88
  4. Step 4: Simplify right side
    651.68x = 485,980.67
  5. Step 5: Solve for x
    x = 485,980.67/651.68
  6. Step 6: Final answer
    x = 745.74

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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.