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Finding the Fourth Proportional to 830.34, 1,245.78 and 465.03

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Solution

The fourth proportional to 830.34, 1,245.78 and 465.03 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,245.78 = 465.03 : x
  2. Step 2: Convert to fraction form
    830.34/1,245.78 = 465.03/x
  3. Step 3: Cross multiply
    830.34x = 1,245.78 × 465.03
  4. Step 4: Simplify right side
    830.34x = 579,325.07
  5. Step 5: Solve for x
    x = 579,325.07/830.34
  6. Step 6: Final answer
    x = 697.70

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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.