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Finding the Fourth Proportional to 1,085.60, 1,497.41 and 665.67

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Solution

The fourth proportional to 1,085.60, 1,497.41 and 665.67 is: 918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.60 : 1,497.41 = 665.67 : x
  2. Step 2: Convert to fraction form
    1,085.60/1,497.41 = 665.67/x
  3. Step 3: Cross multiply
    1,085.60x = 1,497.41 × 665.67
  4. Step 4: Simplify right side
    1,085.60x = 996,779.15
  5. Step 5: Solve for x
    x = 996,779.15/1,085.60
  6. Step 6: Final answer
    x = 918.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.