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Finding the Fourth Proportional to 757.76, 1,046.05 and 536.83

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Solution

The fourth proportional to 757.76, 1,046.05 and 536.83 is: 741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.76 : 1,046.05 = 536.83 : x
  2. Step 2: Convert to fraction form
    757.76/1,046.05 = 536.83/x
  3. Step 3: Cross multiply
    757.76x = 1,046.05 × 536.83
  4. Step 4: Simplify right side
    757.76x = 561,547.06
  5. Step 5: Solve for x
    x = 561,547.06/757.76
  6. Step 6: Final answer
    x = 741.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.