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Finding the Fourth Proportional to 1,090.40, 1,504.24 and 624.38

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Solution

The fourth proportional to 1,090.40, 1,504.24 and 624.38 is: 861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.40 : 1,504.24 = 624.38 : x
  2. Step 2: Convert to fraction form
    1,090.40/1,504.24 = 624.38/x
  3. Step 3: Cross multiply
    1,090.40x = 1,504.24 × 624.38
  4. Step 4: Simplify right side
    1,090.40x = 939,208.29
  5. Step 5: Solve for x
    x = 939,208.29/1,090.40
  6. Step 6: Final answer
    x = 861.35

Related Problems

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Double scale
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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.