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Finding the Fourth Proportional to 979.51, 1,470.14 and 459.81

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Solution

The fourth proportional to 979.51, 1,470.14 and 459.81 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.51 : 1,470.14 = 459.81 : x
  2. Step 2: Convert to fraction form
    979.51/1,470.14 = 459.81/x
  3. Step 3: Cross multiply
    979.51x = 1,470.14 × 459.81
  4. Step 4: Simplify right side
    979.51x = 675,977.72
  5. Step 5: Solve for x
    x = 675,977.72/979.51
  6. Step 6: Final answer
    x = 690.12

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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.