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Finding the Fourth Proportional to 840.69, 1,160.08 and 467.65

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Solution

The fourth proportional to 840.69, 1,160.08 and 467.65 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.69 : 1,160.08 = 467.65 : x
  2. Step 2: Convert to fraction form
    840.69/1,160.08 = 467.65/x
  3. Step 3: Cross multiply
    840.69x = 1,160.08 × 467.65
  4. Step 4: Simplify right side
    840.69x = 542,511.41
  5. Step 5: Solve for x
    x = 542,511.41/840.69
  6. Step 6: Final answer
    x = 645.32

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.