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Finding the Fourth Proportional to 840.75, 1,160.64 and 546.36

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Solution

The fourth proportional to 840.75, 1,160.64 and 546.36 is: 754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.75 : 1,160.64 = 546.36 : x
  2. Step 2: Convert to fraction form
    840.75/1,160.64 = 546.36/x
  3. Step 3: Cross multiply
    840.75x = 1,160.64 × 546.36
  4. Step 4: Simplify right side
    840.75x = 634,127.27
  5. Step 5: Solve for x
    x = 634,127.27/840.75
  6. Step 6: Final answer
    x = 754.24

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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.