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Finding the Fourth Proportional to 931.01, 1,284.43 and 576.81

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Solution

The fourth proportional to 931.01, 1,284.43 and 576.81 is: 795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.01 : 1,284.43 = 576.81 : x
  2. Step 2: Convert to fraction form
    931.01/1,284.43 = 576.81/x
  3. Step 3: Cross multiply
    931.01x = 1,284.43 × 576.81
  4. Step 4: Simplify right side
    931.01x = 740,870.63
  5. Step 5: Solve for x
    x = 740,870.63/931.01
  6. Step 6: Final answer
    x = 795.77

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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.