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Finding the Fourth Proportional to 599.65, 894.45 and 590.53

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Solution

The fourth proportional to 599.65, 894.45 and 590.53 is: 880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.65 : 894.45 = 590.53 : x
  2. Step 2: Convert to fraction form
    599.65/894.45 = 590.53/x
  3. Step 3: Cross multiply
    599.65x = 894.45 × 590.53
  4. Step 4: Simplify right side
    599.65x = 528,199.56
  5. Step 5: Solve for x
    x = 528,199.56/599.65
  6. Step 6: Final answer
    x = 880.85

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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.