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Finding the Fourth Proportional to 1,060.77, 1,590.95 and 367.46

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Solution

The fourth proportional to 1,060.77, 1,590.95 and 367.46 is: 551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.77 : 1,590.95 = 367.46 : x
  2. Step 2: Convert to fraction form
    1,060.77/1,590.95 = 367.46/x
  3. Step 3: Cross multiply
    1,060.77x = 1,590.95 × 367.46
  4. Step 4: Simplify right side
    1,060.77x = 584,610.49
  5. Step 5: Solve for x
    x = 584,610.49/1,060.77
  6. Step 6: Final answer
    x = 551.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.