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Finding the Fourth Proportional to 758.90, 1,137.51 and 697.40

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Solution

The fourth proportional to 758.90, 1,137.51 and 697.40 is: 1,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.90 : 1,137.51 = 697.40 : x
  2. Step 2: Convert to fraction form
    758.90/1,137.51 = 697.40/x
  3. Step 3: Cross multiply
    758.90x = 1,137.51 × 697.40
  4. Step 4: Simplify right side
    758.90x = 793,293.79
  5. Step 5: Solve for x
    x = 793,293.79/758.90
  6. Step 6: Final answer
    x = 1,045.33

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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.