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Finding the Fourth Proportional to 750.49, 1,035.53 and 418.90

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Solution

The fourth proportional to 750.49, 1,035.53 and 418.90 is: 578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.49 : 1,035.53 = 418.90 : x
  2. Step 2: Convert to fraction form
    750.49/1,035.53 = 418.90/x
  3. Step 3: Cross multiply
    750.49x = 1,035.53 × 418.90
  4. Step 4: Simplify right side
    750.49x = 433,783.52
  5. Step 5: Solve for x
    x = 433,783.52/750.49
  6. Step 6: Final answer
    x = 578.00

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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.