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Finding the Fourth Proportional to 1,265.19, 1,745.98 and 705.66

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Solution

The fourth proportional to 1,265.19, 1,745.98 and 705.66 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.19 : 1,745.98 = 705.66 : x
  2. Step 2: Convert to fraction form
    1,265.19/1,745.98 = 705.66/x
  3. Step 3: Cross multiply
    1,265.19x = 1,745.98 × 705.66
  4. Step 4: Simplify right side
    1,265.19x = 1,232,071.74
  5. Step 5: Solve for x
    x = 1,232,071.74/1,265.19
  6. Step 6: Final answer
    x = 973.82

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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.