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Finding the Fourth Proportional to 705.02, 1,055.67 and 595.06

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Solution

The fourth proportional to 705.02, 1,055.67 and 595.06 is: 891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 1,055.67 = 595.06 : x
  2. Step 2: Convert to fraction form
    705.02/1,055.67 = 595.06/x
  3. Step 3: Cross multiply
    705.02x = 1,055.67 × 595.06
  4. Step 4: Simplify right side
    705.02x = 628,182.12
  5. Step 5: Solve for x
    x = 628,182.12/705.02
  6. Step 6: Final answer
    x = 891.02

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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.