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Finding the Fourth Proportional to 612.99, 916.97 and 510.41

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Solution

The fourth proportional to 612.99, 916.97 and 510.41 is: 763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 916.97 = 510.41 : x
  2. Step 2: Convert to fraction form
    612.99/916.97 = 510.41/x
  3. Step 3: Cross multiply
    612.99x = 916.97 × 510.41
  4. Step 4: Simplify right side
    612.99x = 468,034.23
  5. Step 5: Solve for x
    x = 468,034.23/612.99
  6. Step 6: Final answer
    x = 763.53

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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.