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Finding the Fourth Proportional to 1,056.42, 1,584.69 and 363.16

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Solution

The fourth proportional to 1,056.42, 1,584.69 and 363.16 is: 544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.42 : 1,584.69 = 363.16 : x
  2. Step 2: Convert to fraction form
    1,056.42/1,584.69 = 363.16/x
  3. Step 3: Cross multiply
    1,056.42x = 1,584.69 × 363.16
  4. Step 4: Simplify right side
    1,056.42x = 575,499.37
  5. Step 5: Solve for x
    x = 575,499.37/1,056.42
  6. Step 6: Final answer
    x = 544.76

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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.