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Finding the Fourth Proportional to 1,297.60, 1,946.40 and 420.10

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Solution

The fourth proportional to 1,297.60, 1,946.40 and 420.10 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.60 : 1,946.40 = 420.10 : x
  2. Step 2: Convert to fraction form
    1,297.60/1,946.40 = 420.10/x
  3. Step 3: Cross multiply
    1,297.60x = 1,946.40 × 420.10
  4. Step 4: Simplify right side
    1,297.60x = 817,682.64
  5. Step 5: Solve for x
    x = 817,682.64/1,297.60
  6. Step 6: Final answer
    x = 630.15

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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.