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Finding the Fourth Proportional to 1,101.45, 1,519.86 and 647.24

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Solution

The fourth proportional to 1,101.45, 1,519.86 and 647.24 is: 893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.45 : 1,519.86 = 647.24 : x
  2. Step 2: Convert to fraction form
    1,101.45/1,519.86 = 647.24/x
  3. Step 3: Cross multiply
    1,101.45x = 1,519.86 × 647.24
  4. Step 4: Simplify right side
    1,101.45x = 983,706.59
  5. Step 5: Solve for x
    x = 983,706.59/1,101.45
  6. Step 6: Final answer
    x = 893.10

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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.