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Finding the Fourth Proportional to 1,558.17, 2,336.74 and 570.81

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Solution

The fourth proportional to 1,558.17, 2,336.74 and 570.81 is: 856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.17 : 2,336.74 = 570.81 : x
  2. Step 2: Convert to fraction form
    1,558.17/2,336.74 = 570.81/x
  3. Step 3: Cross multiply
    1,558.17x = 2,336.74 × 570.81
  4. Step 4: Simplify right side
    1,558.17x = 1,333,838.97
  5. Step 5: Solve for x
    x = 1,333,838.97/1,558.17
  6. Step 6: Final answer
    x = 856.03

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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.