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Finding the Fourth Proportional to 1,290.04, 1,780.12 and 730.32

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Solution

The fourth proportional to 1,290.04, 1,780.12 and 730.32 is: 1,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.04 : 1,780.12 = 730.32 : x
  2. Step 2: Convert to fraction form
    1,290.04/1,780.12 = 730.32/x
  3. Step 3: Cross multiply
    1,290.04x = 1,780.12 × 730.32
  4. Step 4: Simplify right side
    1,290.04x = 1,300,057.24
  5. Step 5: Solve for x
    x = 1,300,057.24/1,290.04
  6. Step 6: Final answer
    x = 1,007.77

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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.