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Finding the Fourth Proportional to 940.71, 1,298.25 and 521.16

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Solution

The fourth proportional to 940.71, 1,298.25 and 521.16 is: 719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.71 : 1,298.25 = 521.16 : x
  2. Step 2: Convert to fraction form
    940.71/1,298.25 = 521.16/x
  3. Step 3: Cross multiply
    940.71x = 1,298.25 × 521.16
  4. Step 4: Simplify right side
    940.71x = 676,595.97
  5. Step 5: Solve for x
    x = 676,595.97/940.71
  6. Step 6: Final answer
    x = 719.24

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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.