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Finding the Fourth Proportional to 761.10, 1,140.30 and 623.40

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Solution

The fourth proportional to 761.10, 1,140.30 and 623.40 is: 933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.10 : 1,140.30 = 623.40 : x
  2. Step 2: Convert to fraction form
    761.10/1,140.30 = 623.40/x
  3. Step 3: Cross multiply
    761.10x = 1,140.30 × 623.40
  4. Step 4: Simplify right side
    761.10x = 710,863.02
  5. Step 5: Solve for x
    x = 710,863.02/761.10
  6. Step 6: Final answer
    x = 933.99

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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.