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Finding the Fourth Proportional to 1,312.47, 1,969.49 and 491.32

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Solution

The fourth proportional to 1,312.47, 1,969.49 and 491.32 is: 737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.47 : 1,969.49 = 491.32 : x
  2. Step 2: Convert to fraction form
    1,312.47/1,969.49 = 491.32/x
  3. Step 3: Cross multiply
    1,312.47x = 1,969.49 × 491.32
  4. Step 4: Simplify right side
    1,312.47x = 967,649.83
  5. Step 5: Solve for x
    x = 967,649.83/1,312.47
  6. Step 6: Final answer
    x = 737.27

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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.