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Finding the Fourth Proportional to 1,698.70, 2,549.28 and 603.07

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Solution

The fourth proportional to 1,698.70, 2,549.28 and 603.07 is: 905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.70 : 2,549.28 = 603.07 : x
  2. Step 2: Convert to fraction form
    1,698.70/2,549.28 = 603.07/x
  3. Step 3: Cross multiply
    1,698.70x = 2,549.28 × 603.07
  4. Step 4: Simplify right side
    1,698.70x = 1,537,394.29
  5. Step 5: Solve for x
    x = 1,537,394.29/1,698.70
  6. Step 6: Final answer
    x = 905.04

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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.