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Finding the Fourth Proportional to 1,264.32, 1,894.32 and 687.60

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Solution

The fourth proportional to 1,264.32, 1,894.32 and 687.60 is: 1,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.32 : 1,894.32 = 687.60 : x
  2. Step 2: Convert to fraction form
    1,264.32/1,894.32 = 687.60/x
  3. Step 3: Cross multiply
    1,264.32x = 1,894.32 × 687.60
  4. Step 4: Simplify right side
    1,264.32x = 1,302,534.43
  5. Step 5: Solve for x
    x = 1,302,534.43/1,264.32
  6. Step 6: Final answer
    x = 1,030.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.