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Finding the Fourth Proportional to 1,095.02, 1,642.23 and 364.51

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Solution

The fourth proportional to 1,095.02, 1,642.23 and 364.51 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.02 : 1,642.23 = 364.51 : x
  2. Step 2: Convert to fraction form
    1,095.02/1,642.23 = 364.51/x
  3. Step 3: Cross multiply
    1,095.02x = 1,642.23 × 364.51
  4. Step 4: Simplify right side
    1,095.02x = 598,609.26
  5. Step 5: Solve for x
    x = 598,609.26/1,095.02
  6. Step 6: Final answer
    x = 546.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.