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Finding the Fourth Proportional to 1,390.25, 2,085.92 and 525.17

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Solution

The fourth proportional to 1,390.25, 2,085.92 and 525.17 is: 787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.25 : 2,085.92 = 525.17 : x
  2. Step 2: Convert to fraction form
    1,390.25/2,085.92 = 525.17/x
  3. Step 3: Cross multiply
    1,390.25x = 2,085.92 × 525.17
  4. Step 4: Simplify right side
    1,390.25x = 1,095,449.55
  5. Step 5: Solve for x
    x = 1,095,449.55/1,390.25
  6. Step 6: Final answer
    x = 787.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.