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Finding the Fourth Proportional to 1,035.59, 1,428.38 and 703.43

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Solution

The fourth proportional to 1,035.59, 1,428.38 and 703.43 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.59 : 1,428.38 = 703.43 : x
  2. Step 2: Convert to fraction form
    1,035.59/1,428.38 = 703.43/x
  3. Step 3: Cross multiply
    1,035.59x = 1,428.38 × 703.43
  4. Step 4: Simplify right side
    1,035.59x = 1,004,774.67
  5. Step 5: Solve for x
    x = 1,004,774.67/1,035.59
  6. Step 6: Final answer
    x = 970.25

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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.