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Finding the Fourth Proportional to 907.23, 1,359.45 and 541.83

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Solution

The fourth proportional to 907.23, 1,359.45 and 541.83 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.23 : 1,359.45 = 541.83 : x
  2. Step 2: Convert to fraction form
    907.23/1,359.45 = 541.83/x
  3. Step 3: Cross multiply
    907.23x = 1,359.45 × 541.83
  4. Step 4: Simplify right side
    907.23x = 736,590.79
  5. Step 5: Solve for x
    x = 736,590.79/907.23
  6. Step 6: Final answer
    x = 811.91

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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.