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Finding the Fourth Proportional to 1,510.66, 2,266.23 and 644.98

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Solution

The fourth proportional to 1,510.66, 2,266.23 and 644.98 is: 967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.66 : 2,266.23 = 644.98 : x
  2. Step 2: Convert to fraction form
    1,510.66/2,266.23 = 644.98/x
  3. Step 3: Cross multiply
    1,510.66x = 2,266.23 × 644.98
  4. Step 4: Simplify right side
    1,510.66x = 1,461,673.03
  5. Step 5: Solve for x
    x = 1,461,673.03/1,510.66
  6. Step 6: Final answer
    x = 967.57

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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.