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Finding the Fourth Proportional to 1,312.32, 1,968.06 and 490.46

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Solution

The fourth proportional to 1,312.32, 1,968.06 and 490.46 is: 735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.32 : 1,968.06 = 490.46 : x
  2. Step 2: Convert to fraction form
    1,312.32/1,968.06 = 490.46/x
  3. Step 3: Cross multiply
    1,312.32x = 1,968.06 × 490.46
  4. Step 4: Simplify right side
    1,312.32x = 965,254.71
  5. Step 5: Solve for x
    x = 965,254.71/1,312.32
  6. Step 6: Final answer
    x = 735.53

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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.