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Finding the Fourth Proportional to 1,390.42, 2,085.81 and 465.76

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Solution

The fourth proportional to 1,390.42, 2,085.81 and 465.76 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.42 : 2,085.81 = 465.76 : x
  2. Step 2: Convert to fraction form
    1,390.42/2,085.81 = 465.76/x
  3. Step 3: Cross multiply
    1,390.42x = 2,085.81 × 465.76
  4. Step 4: Simplify right side
    1,390.42x = 971,486.87
  5. Step 5: Solve for x
    x = 971,486.87/1,390.42
  6. Step 6: Final answer
    x = 698.70

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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.