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Finding the Fourth Proportional to 750.71, 1,036.00 and 419.13

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Solution

The fourth proportional to 750.71, 1,036.00 and 419.13 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.71 : 1,036.00 = 419.13 : x
  2. Step 2: Convert to fraction form
    750.71/1,036.00 = 419.13/x
  3. Step 3: Cross multiply
    750.71x = 1,036.00 × 419.13
  4. Step 4: Simplify right side
    750.71x = 434,219.20
  5. Step 5: Solve for x
    x = 434,219.20/750.71
  6. Step 6: Final answer
    x = 578.41

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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.