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Finding the Fourth Proportional to 903.69, 1,356.21 and 595.44

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Solution

The fourth proportional to 903.69, 1,356.21 and 595.44 is: 893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.69 : 1,356.21 = 595.44 : x
  2. Step 2: Convert to fraction form
    903.69/1,356.21 = 595.44/x
  3. Step 3: Cross multiply
    903.69x = 1,356.21 × 595.44
  4. Step 4: Simplify right side
    903.69x = 807,541.68
  5. Step 5: Solve for x
    x = 807,541.68/903.69
  6. Step 6: Final answer
    x = 893.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.