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Finding the Fourth Proportional to 690.92, 1,036.34 and 417.07

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Solution

The fourth proportional to 690.92, 1,036.34 and 417.07 is: 625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.92 : 1,036.34 = 417.07 : x
  2. Step 2: Convert to fraction form
    690.92/1,036.34 = 417.07/x
  3. Step 3: Cross multiply
    690.92x = 1,036.34 × 417.07
  4. Step 4: Simplify right side
    690.92x = 432,226.32
  5. Step 5: Solve for x
    x = 432,226.32/690.92
  6. Step 6: Final answer
    x = 625.58

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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.