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Finding the Fourth Proportional to 1,312.16, 1,969.28 and 490.72

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Solution

The fourth proportional to 1,312.16, 1,969.28 and 490.72 is: 736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.16 : 1,969.28 = 490.72 : x
  2. Step 2: Convert to fraction form
    1,312.16/1,969.28 = 490.72/x
  3. Step 3: Cross multiply
    1,312.16x = 1,969.28 × 490.72
  4. Step 4: Simplify right side
    1,312.16x = 966,365.08
  5. Step 5: Solve for x
    x = 966,365.08/1,312.16
  6. Step 6: Final answer
    x = 736.47

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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.