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Finding the Fourth Proportional to 927.53, 1,280.00 and 507.89

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Solution

The fourth proportional to 927.53, 1,280.00 and 507.89 is: 700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.53 : 1,280.00 = 507.89 : x
  2. Step 2: Convert to fraction form
    927.53/1,280.00 = 507.89/x
  3. Step 3: Cross multiply
    927.53x = 1,280.00 × 507.89
  4. Step 4: Simplify right side
    927.53x = 650,090.26
  5. Step 5: Solve for x
    x = 650,090.26/927.53
  6. Step 6: Final answer
    x = 700.89

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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.