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Finding the Fourth Proportional to 1,297.90, 1,946.85 and 476.24

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Solution

The fourth proportional to 1,297.90, 1,946.85 and 476.24 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.90 : 1,946.85 = 476.24 : x
  2. Step 2: Convert to fraction form
    1,297.90/1,946.85 = 476.24/x
  3. Step 3: Cross multiply
    1,297.90x = 1,946.85 × 476.24
  4. Step 4: Simplify right side
    1,297.90x = 927,155.73
  5. Step 5: Solve for x
    x = 927,155.73/1,297.90
  6. Step 6: Final answer
    x = 714.35

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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.