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Finding the Fourth Proportional to 1,264.79, 1,745.26 and 705.23

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Solution

The fourth proportional to 1,264.79, 1,745.26 and 705.23 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.79 : 1,745.26 = 705.23 : x
  2. Step 2: Convert to fraction form
    1,264.79/1,745.26 = 705.23/x
  3. Step 3: Cross multiply
    1,264.79x = 1,745.26 × 705.23
  4. Step 4: Simplify right side
    1,264.79x = 1,230,805.77
  5. Step 5: Solve for x
    x = 1,230,805.77/1,264.79
  6. Step 6: Final answer
    x = 973.13

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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.