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Finding the Fourth Proportional to 1,528.94, 2,291.86 and 603.23

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Solution

The fourth proportional to 1,528.94, 2,291.86 and 603.23 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.94 : 2,291.86 = 603.23 : x
  2. Step 2: Convert to fraction form
    1,528.94/2,291.86 = 603.23/x
  3. Step 3: Cross multiply
    1,528.94x = 2,291.86 × 603.23
  4. Step 4: Simplify right side
    1,528.94x = 1,382,504.23
  5. Step 5: Solve for x
    x = 1,382,504.23/1,528.94
  6. Step 6: Final answer
    x = 904.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.