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Finding the Fourth Proportional to 1,235.95, 1,705.32 and 738.50

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Solution

The fourth proportional to 1,235.95, 1,705.32 and 738.50 is: 1,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.95 : 1,705.32 = 738.50 : x
  2. Step 2: Convert to fraction form
    1,235.95/1,705.32 = 738.50/x
  3. Step 3: Cross multiply
    1,235.95x = 1,705.32 × 738.50
  4. Step 4: Simplify right side
    1,235.95x = 1,259,370.29
  5. Step 5: Solve for x
    x = 1,259,370.29/1,235.95
  6. Step 6: Final answer
    x = 1,018.95

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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.