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Finding the Fourth Proportional to 931.93, 1,397.88 and 383.72

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Solution

The fourth proportional to 931.93, 1,397.88 and 383.72 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.93 : 1,397.88 = 383.72 : x
  2. Step 2: Convert to fraction form
    931.93/1,397.88 = 383.72/x
  3. Step 3: Cross multiply
    931.93x = 1,397.88 × 383.72
  4. Step 4: Simplify right side
    931.93x = 536,394.51
  5. Step 5: Solve for x
    x = 536,394.51/931.93
  6. Step 6: Final answer
    x = 575.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.