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Finding the Fourth Proportional to 830.27, 1,245.78 and 465.06

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Solution

The fourth proportional to 830.27, 1,245.78 and 465.06 is: 697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.27 : 1,245.78 = 465.06 : x
  2. Step 2: Convert to fraction form
    830.27/1,245.78 = 465.06/x
  3. Step 3: Cross multiply
    830.27x = 1,245.78 × 465.06
  4. Step 4: Simplify right side
    830.27x = 579,362.45
  5. Step 5: Solve for x
    x = 579,362.45/830.27
  6. Step 6: Final answer
    x = 697.80

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1.5x scale

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.