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Finding the Fourth Proportional to 830.35, 1,245.73 and 465.40

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Solution

The fourth proportional to 830.35, 1,245.73 and 465.40 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.35 : 1,245.73 = 465.40 : x
  2. Step 2: Convert to fraction form
    830.35/1,245.73 = 465.40/x
  3. Step 3: Cross multiply
    830.35x = 1,245.73 × 465.40
  4. Step 4: Simplify right side
    830.35x = 579,762.74
  5. Step 5: Solve for x
    x = 579,762.74/830.35
  6. Step 6: Final answer
    x = 698.21

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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.