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Finding the Fourth Proportional to 1,312.73, 1,969.16 and 435.31

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Solution

The fourth proportional to 1,312.73, 1,969.16 and 435.31 is: 652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.73 : 1,969.16 = 435.31 : x
  2. Step 2: Convert to fraction form
    1,312.73/1,969.16 = 435.31/x
  3. Step 3: Cross multiply
    1,312.73x = 1,969.16 × 435.31
  4. Step 4: Simplify right side
    1,312.73x = 857,187.94
  5. Step 5: Solve for x
    x = 857,187.94/1,312.73
  6. Step 6: Final answer
    x = 652.98

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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.