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Finding the Fourth Proportional to 1,004.25, 1,386.95 and 690.33

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Solution

The fourth proportional to 1,004.25, 1,386.95 and 690.33 is: 953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.25 : 1,386.95 = 690.33 : x
  2. Step 2: Convert to fraction form
    1,004.25/1,386.95 = 690.33/x
  3. Step 3: Cross multiply
    1,004.25x = 1,386.95 × 690.33
  4. Step 4: Simplify right side
    1,004.25x = 957,449.74
  5. Step 5: Solve for x
    x = 957,449.74/1,004.25
  6. Step 6: Final answer
    x = 953.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.