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Finding the Fourth Proportional to 903.56, 1,354.07 and 507.88

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Solution

The fourth proportional to 903.56, 1,354.07 and 507.88 is: 761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.56 : 1,354.07 = 507.88 : x
  2. Step 2: Convert to fraction form
    903.56/1,354.07 = 507.88/x
  3. Step 3: Cross multiply
    903.56x = 1,354.07 × 507.88
  4. Step 4: Simplify right side
    903.56x = 687,702.96
  5. Step 5: Solve for x
    x = 687,702.96/903.56
  6. Step 6: Final answer
    x = 761.10

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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.