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Finding the Fourth Proportional to 507.95, 766.70 and 507.95

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Solution

The fourth proportional to 507.95, 766.70 and 507.95 is: 766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.95 : 766.70 = 507.95 : x
  2. Step 2: Convert to fraction form
    507.95/766.70 = 507.95/x
  3. Step 3: Cross multiply
    507.95x = 766.70 × 507.95
  4. Step 4: Simplify right side
    507.95x = 389,443.67
  5. Step 5: Solve for x
    x = 389,443.67/507.95
  6. Step 6: Final answer
    x = 766.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.