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Finding the Fourth Proportional to 1,085.57, 1,498.12 and 665.68

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Solution

The fourth proportional to 1,085.57, 1,498.12 and 665.68 is: 918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.57 : 1,498.12 = 665.68 : x
  2. Step 2: Convert to fraction form
    1,085.57/1,498.12 = 665.68/x
  3. Step 3: Cross multiply
    1,085.57x = 1,498.12 × 665.68
  4. Step 4: Simplify right side
    1,085.57x = 997,271.54
  5. Step 5: Solve for x
    x = 997,271.54/1,085.57
  6. Step 6: Final answer
    x = 918.66

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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.