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Finding the Fourth Proportional to 1,312.78, 1,969.35 and 446.86

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Solution

The fourth proportional to 1,312.78, 1,969.35 and 446.86 is: 670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.78 : 1,969.35 = 446.86 : x
  2. Step 2: Convert to fraction form
    1,312.78/1,969.35 = 446.86/x
  3. Step 3: Cross multiply
    1,312.78x = 1,969.35 × 446.86
  4. Step 4: Simplify right side
    1,312.78x = 880,023.74
  5. Step 5: Solve for x
    x = 880,023.74/1,312.78
  6. Step 6: Final answer
    x = 670.35

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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.