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Finding the Fourth Proportional to 1,168.54, 1,752.32 and 437.72

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Solution

The fourth proportional to 1,168.54, 1,752.32 and 437.72 is: 656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.54 : 1,752.32 = 437.72 : x
  2. Step 2: Convert to fraction form
    1,168.54/1,752.32 = 437.72/x
  3. Step 3: Cross multiply
    1,168.54x = 1,752.32 × 437.72
  4. Step 4: Simplify right side
    1,168.54x = 767,025.51
  5. Step 5: Solve for x
    x = 767,025.51/1,168.54
  6. Step 6: Final answer
    x = 656.40

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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.