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Finding the Fourth Proportional to 900.04, 1,350.90 and 467.50

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Solution

The fourth proportional to 900.04, 1,350.90 and 467.50 is: 701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.04 : 1,350.90 = 467.50 : x
  2. Step 2: Convert to fraction form
    900.04/1,350.90 = 467.50/x
  3. Step 3: Cross multiply
    900.04x = 1,350.90 × 467.50
  4. Step 4: Simplify right side
    900.04x = 631,545.75
  5. Step 5: Solve for x
    x = 631,545.75/900.04
  6. Step 6: Final answer
    x = 701.69

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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.