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Finding the Fourth Proportional to 705.65, 1,056.38 and 675.57

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Solution

The fourth proportional to 705.65, 1,056.38 and 675.57 is: 1,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.65 : 1,056.38 = 675.57 : x
  2. Step 2: Convert to fraction form
    705.65/1,056.38 = 675.57/x
  3. Step 3: Cross multiply
    705.65x = 1,056.38 × 675.57
  4. Step 4: Simplify right side
    705.65x = 713,655.26
  5. Step 5: Solve for x
    x = 713,655.26/705.65
  6. Step 6: Final answer
    x = 1,011.35

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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.