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Finding the Fourth Proportional to 1,080.05, 1,490.10 and 707.45

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Solution

The fourth proportional to 1,080.05, 1,490.10 and 707.45 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.05 : 1,490.10 = 707.45 : x
  2. Step 2: Convert to fraction form
    1,080.05/1,490.10 = 707.45/x
  3. Step 3: Cross multiply
    1,080.05x = 1,490.10 × 707.45
  4. Step 4: Simplify right side
    1,080.05x = 1,054,171.25
  5. Step 5: Solve for x
    x = 1,054,171.25/1,080.05
  6. Step 6: Final answer
    x = 976.04

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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.