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Finding the Fourth Proportional to 1,406.63, 2,108.50 and 585.38

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Solution

The fourth proportional to 1,406.63, 2,108.50 and 585.38 is: 877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.63 : 2,108.50 = 585.38 : x
  2. Step 2: Convert to fraction form
    1,406.63/2,108.50 = 585.38/x
  3. Step 3: Cross multiply
    1,406.63x = 2,108.50 × 585.38
  4. Step 4: Simplify right side
    1,406.63x = 1,234,261.72
  5. Step 5: Solve for x
    x = 1,234,261.72/1,406.63
  6. Step 6: Final answer
    x = 877.46

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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.