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Finding the Fourth Proportional to 1,160.04, 1,731.57 and 1,007.04

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Solution

The fourth proportional to 1,160.04, 1,731.57 and 1,007.04 is: 1,503.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.04 : 1,731.57 = 1,007.04 : x
  2. Step 2: Convert to fraction form
    1,160.04/1,731.57 = 1,007.04/x
  3. Step 3: Cross multiply
    1,160.04x = 1,731.57 × 1,007.04
  4. Step 4: Simplify right side
    1,160.04x = 1,743,760.25
  5. Step 5: Solve for x
    x = 1,743,760.25/1,160.04
  6. Step 6: Final answer
    x = 1,503.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.