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Finding the Fourth Proportional to 1,052.19, 1,574.84 and 951.14

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Solution

The fourth proportional to 1,052.19, 1,574.84 and 951.14 is: 1,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.19 : 1,574.84 = 951.14 : x
  2. Step 2: Convert to fraction form
    1,052.19/1,574.84 = 951.14/x
  3. Step 3: Cross multiply
    1,052.19x = 1,574.84 × 951.14
  4. Step 4: Simplify right side
    1,052.19x = 1,497,899.63
  5. Step 5: Solve for x
    x = 1,497,899.63/1,052.19
  6. Step 6: Final answer
    x = 1,423.60

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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.