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Finding the Fourth Proportional to 977.57, 1,466.85 and 429.60

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Solution

The fourth proportional to 977.57, 1,466.85 and 429.60 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,466.85 = 429.60 : x
  2. Step 2: Convert to fraction form
    977.57/1,466.85 = 429.60/x
  3. Step 3: Cross multiply
    977.57x = 1,466.85 × 429.60
  4. Step 4: Simplify right side
    977.57x = 630,158.76
  5. Step 5: Solve for x
    x = 630,158.76/977.57
  6. Step 6: Final answer
    x = 644.62

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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.