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Finding the Fourth Proportional to 1,073.99, 1,482.15 and 601.89

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Solution

The fourth proportional to 1,073.99, 1,482.15 and 601.89 is: 830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.99 : 1,482.15 = 601.89 : x
  2. Step 2: Convert to fraction form
    1,073.99/1,482.15 = 601.89/x
  3. Step 3: Cross multiply
    1,073.99x = 1,482.15 × 601.89
  4. Step 4: Simplify right side
    1,073.99x = 892,091.26
  5. Step 5: Solve for x
    x = 892,091.26/1,073.99
  6. Step 6: Final answer
    x = 830.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.