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Finding the Fourth Proportional to 750.65, 1,035.93 and 419.07

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Solution

The fourth proportional to 750.65, 1,035.93 and 419.07 is: 578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.65 : 1,035.93 = 419.07 : x
  2. Step 2: Convert to fraction form
    750.65/1,035.93 = 419.07/x
  3. Step 3: Cross multiply
    750.65x = 1,035.93 × 419.07
  4. Step 4: Simplify right side
    750.65x = 434,127.19
  5. Step 5: Solve for x
    x = 434,127.19/750.65
  6. Step 6: Final answer
    x = 578.34

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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.