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Finding the Fourth Proportional to 1,070.97, 1,467.19 and 1,030.99

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Solution

The fourth proportional to 1,070.97, 1,467.19 and 1,030.99 is: 1,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.97 : 1,467.19 = 1,030.99 : x
  2. Step 2: Convert to fraction form
    1,070.97/1,467.19 = 1,030.99/x
  3. Step 3: Cross multiply
    1,070.97x = 1,467.19 × 1,030.99
  4. Step 4: Simplify right side
    1,070.97x = 1,512,658.22
  5. Step 5: Solve for x
    x = 1,512,658.22/1,070.97
  6. Step 6: Final answer
    x = 1,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.