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Finding the Fourth Proportional to 1,312.07, 1,969.19 and 543.11

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Solution

The fourth proportional to 1,312.07, 1,969.19 and 543.11 is: 815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.07 : 1,969.19 = 543.11 : x
  2. Step 2: Convert to fraction form
    1,312.07/1,969.19 = 543.11/x
  3. Step 3: Cross multiply
    1,312.07x = 1,969.19 × 543.11
  4. Step 4: Simplify right side
    1,312.07x = 1,069,486.78
  5. Step 5: Solve for x
    x = 1,069,486.78/1,312.07
  6. Step 6: Final answer
    x = 815.11

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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.