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Finding the Fourth Proportional to 903.88, 1,355.68 and 465.40

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Solution

The fourth proportional to 903.88, 1,355.68 and 465.40 is: 698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.88 : 1,355.68 = 465.40 : x
  2. Step 2: Convert to fraction form
    903.88/1,355.68 = 465.40/x
  3. Step 3: Cross multiply
    903.88x = 1,355.68 × 465.40
  4. Step 4: Simplify right side
    903.88x = 630,933.47
  5. Step 5: Solve for x
    x = 630,933.47/903.88
  6. Step 6: Final answer
    x = 698.03

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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.