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Finding the Fourth Proportional to 704.18, 1,054.64 and 460.10

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Solution

The fourth proportional to 704.18, 1,054.64 and 460.10 is: 689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.18 : 1,054.64 = 460.10 : x
  2. Step 2: Convert to fraction form
    704.18/1,054.64 = 460.10/x
  3. Step 3: Cross multiply
    704.18x = 1,054.64 × 460.10
  4. Step 4: Simplify right side
    704.18x = 485,239.86
  5. Step 5: Solve for x
    x = 485,239.86/704.18
  6. Step 6: Final answer
    x = 689.08

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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.