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Finding the Fourth Proportional to 830.16, 1,145.67 and 480.90

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Solution

The fourth proportional to 830.16, 1,145.67 and 480.90 is: 663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,145.67 = 480.90 : x
  2. Step 2: Convert to fraction form
    830.16/1,145.67 = 480.90/x
  3. Step 3: Cross multiply
    830.16x = 1,145.67 × 480.90
  4. Step 4: Simplify right side
    830.16x = 550,952.70
  5. Step 5: Solve for x
    x = 550,952.70/830.16
  6. Step 6: Final answer
    x = 663.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.