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Finding the Fourth Proportional to 840.71, 1,159.93 and 486.53

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Solution

The fourth proportional to 840.71, 1,159.93 and 486.53 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.71 : 1,159.93 = 486.53 : x
  2. Step 2: Convert to fraction form
    840.71/1,159.93 = 486.53/x
  3. Step 3: Cross multiply
    840.71x = 1,159.93 × 486.53
  4. Step 4: Simplify right side
    840.71x = 564,342.43
  5. Step 5: Solve for x
    x = 564,342.43/840.71
  6. Step 6: Final answer
    x = 671.27

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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.