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Finding the Fourth Proportional to 904.51, 1,356.87 and 410.83

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Solution

The fourth proportional to 904.51, 1,356.87 and 410.83 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.51 : 1,356.87 = 410.83 : x
  2. Step 2: Convert to fraction form
    904.51/1,356.87 = 410.83/x
  3. Step 3: Cross multiply
    904.51x = 1,356.87 × 410.83
  4. Step 4: Simplify right side
    904.51x = 557,442.90
  5. Step 5: Solve for x
    x = 557,442.90/904.51
  6. Step 6: Final answer
    x = 616.29

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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.