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Finding the Fourth Proportional to 900.90, 1,243.14 and 507.96

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Solution

The fourth proportional to 900.90, 1,243.14 and 507.96 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.90 : 1,243.14 = 507.96 : x
  2. Step 2: Convert to fraction form
    900.90/1,243.14 = 507.96/x
  3. Step 3: Cross multiply
    900.90x = 1,243.14 × 507.96
  4. Step 4: Simplify right side
    900.90x = 631,465.39
  5. Step 5: Solve for x
    x = 631,465.39/900.90
  6. Step 6: Final answer
    x = 700.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.