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Finding the Fourth Proportional to 785.40, 1,177.29 and 602.34

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Solution

The fourth proportional to 785.40, 1,177.29 and 602.34 is: 902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,177.29 = 602.34 : x
  2. Step 2: Convert to fraction form
    785.40/1,177.29 = 602.34/x
  3. Step 3: Cross multiply
    785.40x = 1,177.29 × 602.34
  4. Step 4: Simplify right side
    785.40x = 709,128.86
  5. Step 5: Solve for x
    x = 709,128.86/785.40
  6. Step 6: Final answer
    x = 902.89

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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.