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Finding the Fourth Proportional to 880.94, 1,317.46 and 784.01

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Solution

The fourth proportional to 880.94, 1,317.46 and 784.01 is: 1,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.94 : 1,317.46 = 784.01 : x
  2. Step 2: Convert to fraction form
    880.94/1,317.46 = 784.01/x
  3. Step 3: Cross multiply
    880.94x = 1,317.46 × 784.01
  4. Step 4: Simplify right side
    880.94x = 1,032,901.81
  5. Step 5: Solve for x
    x = 1,032,901.81/880.94
  6. Step 6: Final answer
    x = 1,172.50

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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.