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Finding the Fourth Proportional to 1,440.49, 2,160.25 and 562.93

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Solution

The fourth proportional to 1,440.49, 2,160.25 and 562.93 is: 844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.49 : 2,160.25 = 562.93 : x
  2. Step 2: Convert to fraction form
    1,440.49/2,160.25 = 562.93/x
  3. Step 3: Cross multiply
    1,440.49x = 2,160.25 × 562.93
  4. Step 4: Simplify right side
    1,440.49x = 1,216,069.53
  5. Step 5: Solve for x
    x = 1,216,069.53/1,440.49
  6. Step 6: Final answer
    x = 844.21

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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.