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Finding the Fourth Proportional to 931.50, 1,283.85 and 744.93

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Solution

The fourth proportional to 931.50, 1,283.85 and 744.93 is: 1,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.50 : 1,283.85 = 744.93 : x
  2. Step 2: Convert to fraction form
    931.50/1,283.85 = 744.93/x
  3. Step 3: Cross multiply
    931.50x = 1,283.85 × 744.93
  4. Step 4: Simplify right side
    931.50x = 956,378.38
  5. Step 5: Solve for x
    x = 956,378.38/931.50
  6. Step 6: Final answer
    x = 1,026.71

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1.5x scale

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.