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Finding the Fourth Proportional to 1,059.96, 1,588.59 and 573.42

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Solution

The fourth proportional to 1,059.96, 1,588.59 and 573.42 is: 859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.96 : 1,588.59 = 573.42 : x
  2. Step 2: Convert to fraction form
    1,059.96/1,588.59 = 573.42/x
  3. Step 3: Cross multiply
    1,059.96x = 1,588.59 × 573.42
  4. Step 4: Simplify right side
    1,059.96x = 910,929.28
  5. Step 5: Solve for x
    x = 910,929.28/1,059.96
  6. Step 6: Final answer
    x = 859.40

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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.