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Finding the Fourth Proportional to 948.66, 1,308.48 and 653.46

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Solution

The fourth proportional to 948.66, 1,308.48 and 653.46 is: 901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.66 : 1,308.48 = 653.46 : x
  2. Step 2: Convert to fraction form
    948.66/1,308.48 = 653.46/x
  3. Step 3: Cross multiply
    948.66x = 1,308.48 × 653.46
  4. Step 4: Simplify right side
    948.66x = 855,039.34
  5. Step 5: Solve for x
    x = 855,039.34/948.66
  6. Step 6: Final answer
    x = 901.31

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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.