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Finding the Fourth Proportional to 978.03, 1,466.55 and 429.98

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Solution

The fourth proportional to 978.03, 1,466.55 and 429.98 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.03 : 1,466.55 = 429.98 : x
  2. Step 2: Convert to fraction form
    978.03/1,466.55 = 429.98/x
  3. Step 3: Cross multiply
    978.03x = 1,466.55 × 429.98
  4. Step 4: Simplify right side
    978.03x = 630,579.84
  5. Step 5: Solve for x
    x = 630,579.84/978.03
  6. Step 6: Final answer
    x = 644.74

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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.