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Finding the Fourth Proportional to 1,390.37, 2,085.06 and 465.71

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Solution

The fourth proportional to 1,390.37, 2,085.06 and 465.71 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.37 : 2,085.06 = 465.71 : x
  2. Step 2: Convert to fraction form
    1,390.37/2,085.06 = 465.71/x
  3. Step 3: Cross multiply
    1,390.37x = 2,085.06 × 465.71
  4. Step 4: Simplify right side
    1,390.37x = 971,022.87
  5. Step 5: Solve for x
    x = 971,022.87/1,390.37
  6. Step 6: Final answer
    x = 698.39

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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.