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Finding the Fourth Proportional to 599.04, 894.84 and 501.84

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Solution

The fourth proportional to 599.04, 894.84 and 501.84 is: 749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 894.84 = 501.84 : x
  2. Step 2: Convert to fraction form
    599.04/894.84 = 501.84/x
  3. Step 3: Cross multiply
    599.04x = 894.84 × 501.84
  4. Step 4: Simplify right side
    599.04x = 449,066.51
  5. Step 5: Solve for x
    x = 449,066.51/599.04
  6. Step 6: Final answer
    x = 749.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.