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Finding the Fourth Proportional to 1,342.59, 1,852.35 and 775.35

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Solution

The fourth proportional to 1,342.59, 1,852.35 and 775.35 is: 1,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.59 : 1,852.35 = 775.35 : x
  2. Step 2: Convert to fraction form
    1,342.59/1,852.35 = 775.35/x
  3. Step 3: Cross multiply
    1,342.59x = 1,852.35 × 775.35
  4. Step 4: Simplify right side
    1,342.59x = 1,436,219.57
  5. Step 5: Solve for x
    x = 1,436,219.57/1,342.59
  6. Step 6: Final answer
    x = 1,069.74

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