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Finding the Fourth Proportional to 1,316.34, 1,816.23 and 896.22

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Solution

The fourth proportional to 1,316.34, 1,816.23 and 896.22 is: 1,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.34 : 1,816.23 = 896.22 : x
  2. Step 2: Convert to fraction form
    1,316.34/1,816.23 = 896.22/x
  3. Step 3: Cross multiply
    1,316.34x = 1,816.23 × 896.22
  4. Step 4: Simplify right side
    1,316.34x = 1,627,741.65
  5. Step 5: Solve for x
    x = 1,627,741.65/1,316.34
  6. Step 6: Final answer
    x = 1,236.57

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Double scale
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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.