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Finding the Fourth Proportional to 1,065.84, 1,598.01 and 449.04

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Solution

The fourth proportional to 1,065.84, 1,598.01 and 449.04 is: 673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,598.01 = 449.04 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,598.01 = 449.04/x
  3. Step 3: Cross multiply
    1,065.84x = 1,598.01 × 449.04
  4. Step 4: Simplify right side
    1,065.84x = 717,570.41
  5. Step 5: Solve for x
    x = 717,570.41/1,065.84
  6. Step 6: Final answer
    x = 673.24

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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.