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Finding the Fourth Proportional to 863.05, 1,293.36 and 430.51

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Solution

The fourth proportional to 863.05, 1,293.36 and 430.51 is: 645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.05 : 1,293.36 = 430.51 : x
  2. Step 2: Convert to fraction form
    863.05/1,293.36 = 430.51/x
  3. Step 3: Cross multiply
    863.05x = 1,293.36 × 430.51
  4. Step 4: Simplify right side
    863.05x = 556,804.41
  5. Step 5: Solve for x
    x = 556,804.41/863.05
  6. Step 6: Final answer
    x = 645.16

Related Problems

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Half scale
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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.