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Finding the Fourth Proportional to 1,178.58, 1,622.71 and 897.91

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Solution

The fourth proportional to 1,178.58, 1,622.71 and 897.91 is: 1,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.58 : 1,622.71 = 897.91 : x
  2. Step 2: Convert to fraction form
    1,178.58/1,622.71 = 897.91/x
  3. Step 3: Cross multiply
    1,178.58x = 1,622.71 × 897.91
  4. Step 4: Simplify right side
    1,178.58x = 1,457,050.69
  5. Step 5: Solve for x
    x = 1,457,050.69/1,178.58
  6. Step 6: Final answer
    x = 1,236.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.