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Finding the Fourth Proportional to 1,095.41, 1,511.47 and 653.24

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Solution

The fourth proportional to 1,095.41, 1,511.47 and 653.24 is: 901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.41 : 1,511.47 = 653.24 : x
  2. Step 2: Convert to fraction form
    1,095.41/1,511.47 = 653.24/x
  3. Step 3: Cross multiply
    1,095.41x = 1,511.47 × 653.24
  4. Step 4: Simplify right side
    1,095.41x = 987,352.66
  5. Step 5: Solve for x
    x = 987,352.66/1,095.41
  6. Step 6: Final answer
    x = 901.35

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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.