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Finding the Fourth Proportional to 853.63, 1,280.03 and 507.01

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Solution

The fourth proportional to 853.63, 1,280.03 and 507.01 is: 760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.63 : 1,280.03 = 507.01 : x
  2. Step 2: Convert to fraction form
    853.63/1,280.03 = 507.01/x
  3. Step 3: Cross multiply
    853.63x = 1,280.03 × 507.01
  4. Step 4: Simplify right side
    853.63x = 648,981.61
  5. Step 5: Solve for x
    x = 648,981.61/853.63
  6. Step 6: Final answer
    x = 760.27

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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.