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Finding the Fourth Proportional to 1,312.40, 1,969.36 and 491.24

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Solution

The fourth proportional to 1,312.40, 1,969.36 and 491.24 is: 737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.40 : 1,969.36 = 491.24 : x
  2. Step 2: Convert to fraction form
    1,312.40/1,969.36 = 491.24/x
  3. Step 3: Cross multiply
    1,312.40x = 1,969.36 × 491.24
  4. Step 4: Simplify right side
    1,312.40x = 967,428.41
  5. Step 5: Solve for x
    x = 967,428.41/1,312.40
  6. Step 6: Final answer
    x = 737.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.