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Finding the Fourth Proportional to 894.00, 1,341.18 and 432.10

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Solution

The fourth proportional to 894.00, 1,341.18 and 432.10 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.00 : 1,341.18 = 432.10 : x
  2. Step 2: Convert to fraction form
    894.00/1,341.18 = 432.10/x
  3. Step 3: Cross multiply
    894.00x = 1,341.18 × 432.10
  4. Step 4: Simplify right side
    894.00x = 579,525.55
  5. Step 5: Solve for x
    x = 579,525.55/894.00
  6. Step 6: Final answer
    x = 648.24

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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.