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Finding the Fourth Proportional to 1,134.13, 1,699.64 and 585.20

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Solution

The fourth proportional to 1,134.13, 1,699.64 and 585.20 is: 877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.13 : 1,699.64 = 585.20 : x
  2. Step 2: Convert to fraction form
    1,134.13/1,699.64 = 585.20/x
  3. Step 3: Cross multiply
    1,134.13x = 1,699.64 × 585.20
  4. Step 4: Simplify right side
    1,134.13x = 994,629.33
  5. Step 5: Solve for x
    x = 994,629.33/1,134.13
  6. Step 6: Final answer
    x = 877.00

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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.