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Finding the Fourth Proportional to 1,055.16, 1,584.14 and 593.19

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Solution

The fourth proportional to 1,055.16, 1,584.14 and 593.19 is: 890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.16 : 1,584.14 = 593.19 : x
  2. Step 2: Convert to fraction form
    1,055.16/1,584.14 = 593.19/x
  3. Step 3: Cross multiply
    1,055.16x = 1,584.14 × 593.19
  4. Step 4: Simplify right side
    1,055.16x = 939,693.04
  5. Step 5: Solve for x
    x = 939,693.04/1,055.16
  6. Step 6: Final answer
    x = 890.57

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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.