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Finding the Fourth Proportional to 1,312.89, 1,969.07 and 619.26

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Solution

The fourth proportional to 1,312.89, 1,969.07 and 619.26 is: 928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.89 : 1,969.07 = 619.26 : x
  2. Step 2: Convert to fraction form
    1,312.89/1,969.07 = 619.26/x
  3. Step 3: Cross multiply
    1,312.89x = 1,969.07 × 619.26
  4. Step 4: Simplify right side
    1,312.89x = 1,219,369.66
  5. Step 5: Solve for x
    x = 1,219,369.66/1,312.89
  6. Step 6: Final answer
    x = 928.77

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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.