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Finding the Fourth Proportional to 1,312.02, 1,969.08 and 490.95

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Solution

The fourth proportional to 1,312.02, 1,969.08 and 490.95 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,969.08 = 490.95 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,969.08 = 490.95/x
  3. Step 3: Cross multiply
    1,312.02x = 1,969.08 × 490.95
  4. Step 4: Simplify right side
    1,312.02x = 966,719.83
  5. Step 5: Solve for x
    x = 966,719.83/1,312.02
  6. Step 6: Final answer
    x = 736.82

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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.