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Finding the Fourth Proportional to 1,152.19, 1,728.29 and 319.26

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Solution

The fourth proportional to 1,152.19, 1,728.29 and 319.26 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.19 : 1,728.29 = 319.26 : x
  2. Step 2: Convert to fraction form
    1,152.19/1,728.29 = 319.26/x
  3. Step 3: Cross multiply
    1,152.19x = 1,728.29 × 319.26
  4. Step 4: Simplify right side
    1,152.19x = 551,774.28
  5. Step 5: Solve for x
    x = 551,774.28/1,152.19
  6. Step 6: Final answer
    x = 478.89

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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.