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Finding the Fourth Proportional to 697.30, 1,045.59 and 389.36

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Solution

The fourth proportional to 697.30, 1,045.59 and 389.36 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,045.59 = 389.36 : x
  2. Step 2: Convert to fraction form
    697.30/1,045.59 = 389.36/x
  3. Step 3: Cross multiply
    697.30x = 1,045.59 × 389.36
  4. Step 4: Simplify right side
    697.30x = 407,110.92
  5. Step 5: Solve for x
    x = 407,110.92/697.30
  6. Step 6: Final answer
    x = 583.84

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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.