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Finding the Fourth Proportional to 1,740.08, 2,608.44 and 585.04

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Solution

The fourth proportional to 1,740.08, 2,608.44 and 585.04 is: 877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.08 : 2,608.44 = 585.04 : x
  2. Step 2: Convert to fraction form
    1,740.08/2,608.44 = 585.04/x
  3. Step 3: Cross multiply
    1,740.08x = 2,608.44 × 585.04
  4. Step 4: Simplify right side
    1,740.08x = 1,526,041.74
  5. Step 5: Solve for x
    x = 1,526,041.74/1,740.08
  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.