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Finding the Fourth Proportional to 1,312.87, 1,968.33 and 619.15

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Solution

The fourth proportional to 1,312.87, 1,968.33 and 619.15 is: 928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.87 : 1,968.33 = 619.15 : x
  2. Step 2: Convert to fraction form
    1,312.87/1,968.33 = 619.15/x
  3. Step 3: Cross multiply
    1,312.87x = 1,968.33 × 619.15
  4. Step 4: Simplify right side
    1,312.87x = 1,218,681.68
  5. Step 5: Solve for x
    x = 1,218,681.68/1,312.87
  6. Step 6: Final answer
    x = 928.26

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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.