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Finding the Fourth Proportional to 914.06, 1,261.42 and 521.12

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Solution

The fourth proportional to 914.06, 1,261.42 and 521.12 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.06 : 1,261.42 = 521.12 : x
  2. Step 2: Convert to fraction form
    914.06/1,261.42 = 521.12/x
  3. Step 3: Cross multiply
    914.06x = 1,261.42 × 521.12
  4. Step 4: Simplify right side
    914.06x = 657,343.58
  5. Step 5: Solve for x
    x = 657,343.58/914.06
  6. Step 6: Final answer
    x = 719.15

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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.