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Finding the Fourth Proportional to 940.56, 1,298.02 and 567.53

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Solution

The fourth proportional to 940.56, 1,298.02 and 567.53 is: 783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.56 : 1,298.02 = 567.53 : x
  2. Step 2: Convert to fraction form
    940.56/1,298.02 = 567.53/x
  3. Step 3: Cross multiply
    940.56x = 1,298.02 × 567.53
  4. Step 4: Simplify right side
    940.56x = 736,672.47
  5. Step 5: Solve for x
    x = 736,672.47/940.56
  6. Step 6: Final answer
    x = 783.23

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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.