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Finding the Fourth Proportional to 1,053.02, 1,577.70 and 640.88

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Solution

The fourth proportional to 1,053.02, 1,577.70 and 640.88 is: 960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.02 : 1,577.70 = 640.88 : x
  2. Step 2: Convert to fraction form
    1,053.02/1,577.70 = 640.88/x
  3. Step 3: Cross multiply
    1,053.02x = 1,577.70 × 640.88
  4. Step 4: Simplify right side
    1,053.02x = 1,011,116.38
  5. Step 5: Solve for x
    x = 1,011,116.38/1,053.02
  6. Step 6: Final answer
    x = 960.21

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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.