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Finding the Fourth Proportional to 1,490.04, 2,235.18 and 565.44

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Solution

The fourth proportional to 1,490.04, 2,235.18 and 565.44 is: 848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.04 : 2,235.18 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,490.04/2,235.18 = 565.44/x
  3. Step 3: Cross multiply
    1,490.04x = 2,235.18 × 565.44
  4. Step 4: Simplify right side
    1,490.04x = 1,263,860.18
  5. Step 5: Solve for x
    x = 1,263,860.18/1,490.04
  6. Step 6: Final answer
    x = 848.21

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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.