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Finding the Fourth Proportional to 1,312.56, 1,969.02 and 446.76

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Solution

The fourth proportional to 1,312.56, 1,969.02 and 446.76 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.56 : 1,969.02 = 446.76 : x
  2. Step 2: Convert to fraction form
    1,312.56/1,969.02 = 446.76/x
  3. Step 3: Cross multiply
    1,312.56x = 1,969.02 × 446.76
  4. Step 4: Simplify right side
    1,312.56x = 879,679.38
  5. Step 5: Solve for x
    x = 879,679.38/1,312.56
  6. Step 6: Final answer
    x = 670.20

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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.