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Finding the Fourth Proportional to 1,035.12, 1,544.69 and 924.25

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Solution

The fourth proportional to 1,035.12, 1,544.69 and 924.25 is: 1,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.12 : 1,544.69 = 924.25 : x
  2. Step 2: Convert to fraction form
    1,035.12/1,544.69 = 924.25/x
  3. Step 3: Cross multiply
    1,035.12x = 1,544.69 × 924.25
  4. Step 4: Simplify right side
    1,035.12x = 1,427,679.73
  5. Step 5: Solve for x
    x = 1,427,679.73/1,035.12
  6. Step 6: Final answer
    x = 1,379.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.