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Finding the Fourth Proportional to 1,045.38, 1,440.78 and 924.68

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Solution

The fourth proportional to 1,045.38, 1,440.78 and 924.68 is: 1,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.38 : 1,440.78 = 924.68 : x
  2. Step 2: Convert to fraction form
    1,045.38/1,440.78 = 924.68/x
  3. Step 3: Cross multiply
    1,045.38x = 1,440.78 × 924.68
  4. Step 4: Simplify right side
    1,045.38x = 1,332,260.45
  5. Step 5: Solve for x
    x = 1,332,260.45/1,045.38
  6. Step 6: Final answer
    x = 1,274.43

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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.