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Finding the Fourth Proportional to 750.03, 1,035.04 and 418.45

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Solution

The fourth proportional to 750.03, 1,035.04 and 418.45 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.03 : 1,035.04 = 418.45 : x
  2. Step 2: Convert to fraction form
    750.03/1,035.04 = 418.45/x
  3. Step 3: Cross multiply
    750.03x = 1,035.04 × 418.45
  4. Step 4: Simplify right side
    750.03x = 433,113.31
  5. Step 5: Solve for x
    x = 433,113.31/750.03
  6. Step 6: Final answer
    x = 577.46

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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.