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Finding the Fourth Proportional to 1,056.35, 1,584.59 and 362.83

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Solution

The fourth proportional to 1,056.35, 1,584.59 and 362.83 is: 544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.35 : 1,584.59 = 362.83 : x
  2. Step 2: Convert to fraction form
    1,056.35/1,584.59 = 362.83/x
  3. Step 3: Cross multiply
    1,056.35x = 1,584.59 × 362.83
  4. Step 4: Simplify right side
    1,056.35x = 574,931.01
  5. Step 5: Solve for x
    x = 574,931.01/1,056.35
  6. Step 6: Final answer
    x = 544.26

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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.