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Finding the Fourth Proportional to 830.01, 1,145.43 and 456.99

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Solution

The fourth proportional to 830.01, 1,145.43 and 456.99 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.01 : 1,145.43 = 456.99 : x
  2. Step 2: Convert to fraction form
    830.01/1,145.43 = 456.99/x
  3. Step 3: Cross multiply
    830.01x = 1,145.43 × 456.99
  4. Step 4: Simplify right side
    830.01x = 523,450.06
  5. Step 5: Solve for x
    x = 523,450.06/830.01
  6. Step 6: Final answer
    x = 630.66

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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.