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Finding the Fourth Proportional to 840.69, 1,160.10 and 546.26

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Solution

The fourth proportional to 840.69, 1,160.10 and 546.26 is: 753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.69 : 1,160.10 = 546.26 : x
  2. Step 2: Convert to fraction form
    840.69/1,160.10 = 546.26/x
  3. Step 3: Cross multiply
    840.69x = 1,160.10 × 546.26
  4. Step 4: Simplify right side
    840.69x = 633,710.43
  5. Step 5: Solve for x
    x = 633,710.43/840.69
  6. Step 6: Final answer
    x = 753.80

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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.