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Finding the Fourth Proportional to 1,510.19, 2,265.74 and 644.57

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Solution

The fourth proportional to 1,510.19, 2,265.74 and 644.57 is: 967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.19 : 2,265.74 = 644.57 : x
  2. Step 2: Convert to fraction form
    1,510.19/2,265.74 = 644.57/x
  3. Step 3: Cross multiply
    1,510.19x = 2,265.74 × 644.57
  4. Step 4: Simplify right side
    1,510.19x = 1,460,428.03
  5. Step 5: Solve for x
    x = 1,460,428.03/1,510.19
  6. Step 6: Final answer
    x = 967.05

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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.