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Finding the Fourth Proportional to 977.90, 1,466.97 and 430.22

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Solution

The fourth proportional to 977.90, 1,466.97 and 430.22 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.90 : 1,466.97 = 430.22 : x
  2. Step 2: Convert to fraction form
    977.90/1,466.97 = 430.22/x
  3. Step 3: Cross multiply
    977.90x = 1,466.97 × 430.22
  4. Step 4: Simplify right side
    977.90x = 631,119.83
  5. Step 5: Solve for x
    x = 631,119.83/977.90
  6. Step 6: Final answer
    x = 645.38

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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.