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Finding the Fourth Proportional to 743.04, 1,109.07 and 670.14

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Solution

The fourth proportional to 743.04, 1,109.07 and 670.14 is: 1,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.04 : 1,109.07 = 670.14 : x
  2. Step 2: Convert to fraction form
    743.04/1,109.07 = 670.14/x
  3. Step 3: Cross multiply
    743.04x = 1,109.07 × 670.14
  4. Step 4: Simplify right side
    743.04x = 743,232.17
  5. Step 5: Solve for x
    x = 743,232.17/743.04
  6. Step 6: Final answer
    x = 1,000.26

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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.