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Finding the Fourth Proportional to 830.03, 1,144.71 and 655.07

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Solution

The fourth proportional to 830.03, 1,144.71 and 655.07 is: 903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.03 : 1,144.71 = 655.07 : x
  2. Step 2: Convert to fraction form
    830.03/1,144.71 = 655.07/x
  3. Step 3: Cross multiply
    830.03x = 1,144.71 × 655.07
  4. Step 4: Simplify right side
    830.03x = 749,865.58
  5. Step 5: Solve for x
    x = 749,865.58/830.03
  6. Step 6: Final answer
    x = 903.42

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