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Finding the Fourth Proportional to 894.84, 1,341.51 and 432.33

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Solution

The fourth proportional to 894.84, 1,341.51 and 432.33 is: 648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,341.51 = 432.33 : x
  2. Step 2: Convert to fraction form
    894.84/1,341.51 = 432.33/x
  3. Step 3: Cross multiply
    894.84x = 1,341.51 × 432.33
  4. Step 4: Simplify right side
    894.84x = 579,975.02
  5. Step 5: Solve for x
    x = 579,975.02/894.84
  6. Step 6: Final answer
    x = 648.13

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