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Finding the Fourth Proportional to 904.54, 1,356.80 and 580.12

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Solution

The fourth proportional to 904.54, 1,356.80 and 580.12 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.54 : 1,356.80 = 580.12 : x
  2. Step 2: Convert to fraction form
    904.54/1,356.80 = 580.12/x
  3. Step 3: Cross multiply
    904.54x = 1,356.80 × 580.12
  4. Step 4: Simplify right side
    904.54x = 787,106.82
  5. Step 5: Solve for x
    x = 787,106.82/904.54
  6. Step 6: Final answer
    x = 870.17

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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.