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Finding the Fourth Proportional to 740.56, 1,109.72 and 585.84

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Solution

The fourth proportional to 740.56, 1,109.72 and 585.84 is: 877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,109.72 = 585.84 : x
  2. Step 2: Convert to fraction form
    740.56/1,109.72 = 585.84/x
  3. Step 3: Cross multiply
    740.56x = 1,109.72 × 585.84
  4. Step 4: Simplify right side
    740.56x = 650,118.36
  5. Step 5: Solve for x
    x = 650,118.36/740.56
  6. Step 6: Final answer
    x = 877.87

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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.