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Finding the Fourth Proportional to 1,118.34, 1,678.41 and 570.87

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Solution

The fourth proportional to 1,118.34, 1,678.41 and 570.87 is: 856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.34 : 1,678.41 = 570.87 : x
  2. Step 2: Convert to fraction form
    1,118.34/1,678.41 = 570.87/x
  3. Step 3: Cross multiply
    1,118.34x = 1,678.41 × 570.87
  4. Step 4: Simplify right side
    1,118.34x = 958,153.92
  5. Step 5: Solve for x
    x = 958,153.92/1,118.34
  6. Step 6: Final answer
    x = 856.76

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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.