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Finding the Fourth Proportional to 690.60, 1,036.94 and 431

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Solution

The fourth proportional to 690.60, 1,036.94 and 431 is: 647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.60 : 1,036.94 = 431 : x
  2. Step 2: Convert to fraction form
    690.60/1,036.94 = 431/x
  3. Step 3: Cross multiply
    690.60x = 1,036.94 × 431
  4. Step 4: Simplify right side
    690.60x = 446,921.14
  5. Step 5: Solve for x
    x = 446,921.14/690.60
  6. Step 6: Final answer
    x = 647.15

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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.