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Finding the Fourth Proportional to 1,970.13, 2,955.68 and 564.57

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Solution

The fourth proportional to 1,970.13, 2,955.68 and 564.57 is: 846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.13 : 2,955.68 = 564.57 : x
  2. Step 2: Convert to fraction form
    1,970.13/2,955.68 = 564.57/x
  3. Step 3: Cross multiply
    1,970.13x = 2,955.68 × 564.57
  4. Step 4: Simplify right side
    1,970.13x = 1,668,685.43
  5. Step 5: Solve for x
    x = 1,668,685.43/1,970.13
  6. Step 6: Final answer
    x = 846.99

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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.