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Finding the Fourth Proportional to 757.76, 1,046.40 and 570.93

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Solution

The fourth proportional to 757.76, 1,046.40 and 570.93 is: 788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.76 : 1,046.40 = 570.93 : x
  2. Step 2: Convert to fraction form
    757.76/1,046.40 = 570.93/x
  3. Step 3: Cross multiply
    757.76x = 1,046.40 × 570.93
  4. Step 4: Simplify right side
    757.76x = 597,421.15
  5. Step 5: Solve for x
    x = 597,421.15/757.76
  6. Step 6: Final answer
    x = 788.40

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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.