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Finding the Fourth Proportional to 940.96, 1,298.54 and 521.35

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Solution

The fourth proportional to 940.96, 1,298.54 and 521.35 is: 719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.96 : 1,298.54 = 521.35 : x
  2. Step 2: Convert to fraction form
    940.96/1,298.54 = 521.35/x
  3. Step 3: Cross multiply
    940.96x = 1,298.54 × 521.35
  4. Step 4: Simplify right side
    940.96x = 676,991.22
  5. Step 5: Solve for x
    x = 676,991.22/940.96
  6. Step 6: Final answer
    x = 719.47

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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.