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Finding the Fourth Proportional to 610.18, 912.76 and 507.60

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Solution

The fourth proportional to 610.18, 912.76 and 507.60 is: 759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.18 : 912.76 = 507.60 : x
  2. Step 2: Convert to fraction form
    610.18/912.76 = 507.60/x
  3. Step 3: Cross multiply
    610.18x = 912.76 × 507.60
  4. Step 4: Simplify right side
    610.18x = 463,315.71
  5. Step 5: Solve for x
    x = 463,315.71/610.18
  6. Step 6: Final answer
    x = 759.31

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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.