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Finding the Fourth Proportional to 1,035.39, 1,553.14 and 304.98

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Solution

The fourth proportional to 1,035.39, 1,553.14 and 304.98 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.39 : 1,553.14 = 304.98 : x
  2. Step 2: Convert to fraction form
    1,035.39/1,553.14 = 304.98/x
  3. Step 3: Cross multiply
    1,035.39x = 1,553.14 × 304.98
  4. Step 4: Simplify right side
    1,035.39x = 473,676.64
  5. Step 5: Solve for x
    x = 473,676.64/1,035.39
  6. Step 6: Final answer
    x = 457.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.