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Finding the Fourth Proportional to 948.42, 1,308.28 and 594.58

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Solution

The fourth proportional to 948.42, 1,308.28 and 594.58 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.42 : 1,308.28 = 594.58 : x
  2. Step 2: Convert to fraction form
    948.42/1,308.28 = 594.58/x
  3. Step 3: Cross multiply
    948.42x = 1,308.28 × 594.58
  4. Step 4: Simplify right side
    948.42x = 777,877.12
  5. Step 5: Solve for x
    x = 777,877.12/948.42
  6. Step 6: Final answer
    x = 820.18

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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.