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Finding the Fourth Proportional to 1,095.25, 1,511.19 and 653.06

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Solution

The fourth proportional to 1,095.25, 1,511.19 and 653.06 is: 901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.25 : 1,511.19 = 653.06 : x
  2. Step 2: Convert to fraction form
    1,095.25/1,511.19 = 653.06/x
  3. Step 3: Cross multiply
    1,095.25x = 1,511.19 × 653.06
  4. Step 4: Simplify right side
    1,095.25x = 986,904.27
  5. Step 5: Solve for x
    x = 986,904.27/1,095.25
  6. Step 6: Final answer
    x = 901.08

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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.