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Finding the Fourth Proportional to 750.63, 1,035.84 and 419.05

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Solution

The fourth proportional to 750.63, 1,035.84 and 419.05 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.63 : 1,035.84 = 419.05 : x
  2. Step 2: Convert to fraction form
    750.63/1,035.84 = 419.05/x
  3. Step 3: Cross multiply
    750.63x = 1,035.84 × 419.05
  4. Step 4: Simplify right side
    750.63x = 434,068.75
  5. Step 5: Solve for x
    x = 434,068.75/750.63
  6. Step 6: Final answer
    x = 578.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.