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Finding the Fourth Proportional to 1,095.07, 1,511.27 and 652.99

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Solution

The fourth proportional to 1,095.07, 1,511.27 and 652.99 is: 901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.07 : 1,511.27 = 652.99 : x
  2. Step 2: Convert to fraction form
    1,095.07/1,511.27 = 652.99/x
  3. Step 3: Cross multiply
    1,095.07x = 1,511.27 × 652.99
  4. Step 4: Simplify right side
    1,095.07x = 986,844.20
  5. Step 5: Solve for x
    x = 986,844.20/1,095.07
  6. Step 6: Final answer
    x = 901.17

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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.