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Finding the Fourth Proportional to 1,412.58, 1,948.32 and 823.08

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Solution

The fourth proportional to 1,412.58, 1,948.32 and 823.08 is: 1,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.58 : 1,948.32 = 823.08 : x
  2. Step 2: Convert to fraction form
    1,412.58/1,948.32 = 823.08/x
  3. Step 3: Cross multiply
    1,412.58x = 1,948.32 × 823.08
  4. Step 4: Simplify right side
    1,412.58x = 1,603,623.23
  5. Step 5: Solve for x
    x = 1,603,623.23/1,412.58
  6. Step 6: Final answer
    x = 1,135.24

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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.