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Finding the Fourth Proportional to 1,084.24, 1,624.76 and 497.79

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Solution

The fourth proportional to 1,084.24, 1,624.76 and 497.79 is: 745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.24 : 1,624.76 = 497.79 : x
  2. Step 2: Convert to fraction form
    1,084.24/1,624.76 = 497.79/x
  3. Step 3: Cross multiply
    1,084.24x = 1,624.76 × 497.79
  4. Step 4: Simplify right side
    1,084.24x = 808,792.10
  5. Step 5: Solve for x
    x = 808,792.10/1,084.24
  6. Step 6: Final answer
    x = 745.95

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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.