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Finding the Fourth Proportional to 1,312.63, 1,969.26 and 400.63

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Solution

The fourth proportional to 1,312.63, 1,969.26 and 400.63 is: 601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.63 : 1,969.26 = 400.63 : x
  2. Step 2: Convert to fraction form
    1,312.63/1,969.26 = 400.63/x
  3. Step 3: Cross multiply
    1,312.63x = 1,969.26 × 400.63
  4. Step 4: Simplify right side
    1,312.63x = 788,934.79
  5. Step 5: Solve for x
    x = 788,934.79/1,312.63
  6. Step 6: Final answer
    x = 601.04

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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.