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Finding the Fourth Proportional to 1,300.07, 1,950.08 and 326.17

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Solution

The fourth proportional to 1,300.07, 1,950.08 and 326.17 is: 489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.07 : 1,950.08 = 326.17 : x
  2. Step 2: Convert to fraction form
    1,300.07/1,950.08 = 326.17/x
  3. Step 3: Cross multiply
    1,300.07x = 1,950.08 × 326.17
  4. Step 4: Simplify right side
    1,300.07x = 636,055.67
  5. Step 5: Solve for x
    x = 636,055.67/1,300.07
  6. Step 6: Final answer
    x = 489.25

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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.