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Finding the Fourth Proportional to 750.40, 1,125.66 and 202.58

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Solution

The fourth proportional to 750.40, 1,125.66 and 202.58 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.40 : 1,125.66 = 202.58 : x
  2. Step 2: Convert to fraction form
    750.40/1,125.66 = 202.58/x
  3. Step 3: Cross multiply
    750.40x = 1,125.66 × 202.58
  4. Step 4: Simplify right side
    750.40x = 228,041.89
  5. Step 5: Solve for x
    x = 228,041.89/750.40
  6. Step 6: Final answer
    x = 303.89

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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.