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Finding the Fourth Proportional to 845.14, 1,264.63 and 498.64

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Solution

The fourth proportional to 845.14, 1,264.63 and 498.64 is: 746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.14 : 1,264.63 = 498.64 : x
  2. Step 2: Convert to fraction form
    845.14/1,264.63 = 498.64/x
  3. Step 3: Cross multiply
    845.14x = 1,264.63 × 498.64
  4. Step 4: Simplify right side
    845.14x = 630,598.26
  5. Step 5: Solve for x
    x = 630,598.26/845.14
  6. Step 6: Final answer
    x = 746.14

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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.