Home / 1,312.34-1,968.80-446.63

Finding the Fourth Proportional to 1,312.34, 1,968.80 and 446.63

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Solution

The fourth proportional to 1,312.34, 1,968.80 and 446.63 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,968.80 = 446.63 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,968.80 = 446.63/x
  3. Step 3: Cross multiply
    1,312.34x = 1,968.80 × 446.63
  4. Step 4: Simplify right side
    1,312.34x = 879,313.07
  5. Step 5: Solve for x
    x = 879,313.07/1,312.34
  6. Step 6: Final answer
    x = 670.04

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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.