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Finding the Fourth Proportional to 1,030.03, 1,544.25 and 700.11

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Solution

The fourth proportional to 1,030.03, 1,544.25 and 700.11 is: 1,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.03 : 1,544.25 = 700.11 : x
  2. Step 2: Convert to fraction form
    1,030.03/1,544.25 = 700.11/x
  3. Step 3: Cross multiply
    1,030.03x = 1,544.25 × 700.11
  4. Step 4: Simplify right side
    1,030.03x = 1,081,143.55
  5. Step 5: Solve for x
    x = 1,081,143.55/1,030.03
  6. Step 6: Final answer
    x = 1,049.62

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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.