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Finding the Fourth Proportional to 1,670.49, 2,505.15 and 559.71

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Solution

The fourth proportional to 1,670.49, 2,505.15 and 559.71 is: 839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.49 : 2,505.15 = 559.71 : x
  2. Step 2: Convert to fraction form
    1,670.49/2,505.15 = 559.71/x
  3. Step 3: Cross multiply
    1,670.49x = 2,505.15 × 559.71
  4. Step 4: Simplify right side
    1,670.49x = 1,402,157.51
  5. Step 5: Solve for x
    x = 1,402,157.51/1,670.49
  6. Step 6: Final answer
    x = 839.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.