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Finding the Fourth Proportional to 903.93, 1,355.70 and 597.93

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Solution

The fourth proportional to 903.93, 1,355.70 and 597.93 is: 896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.93 : 1,355.70 = 597.93 : x
  2. Step 2: Convert to fraction form
    903.93/1,355.70 = 597.93/x
  3. Step 3: Cross multiply
    903.93x = 1,355.70 × 597.93
  4. Step 4: Simplify right side
    903.93x = 810,613.70
  5. Step 5: Solve for x
    x = 810,613.70/903.93
  6. Step 6: Final answer
    x = 896.77

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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.