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Finding the Fourth Proportional to 1,065.49, 1,597.43 and 603.79

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Solution

The fourth proportional to 1,065.49, 1,597.43 and 603.79 is: 905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.49 : 1,597.43 = 603.79 : x
  2. Step 2: Convert to fraction form
    1,065.49/1,597.43 = 603.79/x
  3. Step 3: Cross multiply
    1,065.49x = 1,597.43 × 603.79
  4. Step 4: Simplify right side
    1,065.49x = 964,509.24
  5. Step 5: Solve for x
    x = 964,509.24/1,065.49
  6. Step 6: Final answer
    x = 905.23

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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.