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Finding the Fourth Proportional to 1,556.84, 2,336.06 and 690.95

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Solution

The fourth proportional to 1,556.84, 2,336.06 and 690.95 is: 1,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.84 : 2,336.06 = 690.95 : x
  2. Step 2: Convert to fraction form
    1,556.84/2,336.06 = 690.95/x
  3. Step 3: Cross multiply
    1,556.84x = 2,336.06 × 690.95
  4. Step 4: Simplify right side
    1,556.84x = 1,614,085.52
  5. Step 5: Solve for x
    x = 1,614,085.52/1,556.84
  6. Step 6: Final answer
    x = 1,036.77

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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.