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Finding the Fourth Proportional to 1,698.68, 2,548.08 and 603.13

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Solution

The fourth proportional to 1,698.68, 2,548.08 and 603.13 is: 904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.68 : 2,548.08 = 603.13 : x
  2. Step 2: Convert to fraction form
    1,698.68/2,548.08 = 603.13/x
  3. Step 3: Cross multiply
    1,698.68x = 2,548.08 × 603.13
  4. Step 4: Simplify right side
    1,698.68x = 1,536,834.34
  5. Step 5: Solve for x
    x = 1,536,834.34/1,698.68
  6. Step 6: Final answer
    x = 904.72

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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.