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Finding the Fourth Proportional to 1,039.59, 1,433.95 and 690.28

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Solution

The fourth proportional to 1,039.59, 1,433.95 and 690.28 is: 952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.59 : 1,433.95 = 690.28 : x
  2. Step 2: Convert to fraction form
    1,039.59/1,433.95 = 690.28/x
  3. Step 3: Cross multiply
    1,039.59x = 1,433.95 × 690.28
  4. Step 4: Simplify right side
    1,039.59x = 989,827.01
  5. Step 5: Solve for x
    x = 989,827.01/1,039.59
  6. Step 6: Final answer
    x = 952.13

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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.