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Finding the Fourth Proportional to 904.71, 1,349.42 and 877.37

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Solution

The fourth proportional to 904.71, 1,349.42 and 877.37 is: 1,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.71 : 1,349.42 = 877.37 : x
  2. Step 2: Convert to fraction form
    904.71/1,349.42 = 877.37/x
  3. Step 3: Cross multiply
    904.71x = 1,349.42 × 877.37
  4. Step 4: Simplify right side
    904.71x = 1,183,936.07
  5. Step 5: Solve for x
    x = 1,183,936.07/904.71
  6. Step 6: Final answer
    x = 1,308.64

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1.5x scale

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.