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Finding the Fourth Proportional to 1,312.57, 1,969.74 and 543.07

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Solution

The fourth proportional to 1,312.57, 1,969.74 and 543.07 is: 814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.57 : 1,969.74 = 543.07 : x
  2. Step 2: Convert to fraction form
    1,312.57/1,969.74 = 543.07/x
  3. Step 3: Cross multiply
    1,312.57x = 1,969.74 × 543.07
  4. Step 4: Simplify right side
    1,312.57x = 1,069,706.70
  5. Step 5: Solve for x
    x = 1,069,706.70/1,312.57
  6. Step 6: Final answer
    x = 814.97

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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.