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Finding the Fourth Proportional to 1,071.58, 1,479.01 and 697.89

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Solution

The fourth proportional to 1,071.58, 1,479.01 and 697.89 is: 963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.58 : 1,479.01 = 697.89 : x
  2. Step 2: Convert to fraction form
    1,071.58/1,479.01 = 697.89/x
  3. Step 3: Cross multiply
    1,071.58x = 1,479.01 × 697.89
  4. Step 4: Simplify right side
    1,071.58x = 1,032,187.24
  5. Step 5: Solve for x
    x = 1,032,187.24/1,071.58
  6. Step 6: Final answer
    x = 963.24

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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.