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Finding the Fourth Proportional to 903.08, 1,246.26 and 510.02

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Solution

The fourth proportional to 903.08, 1,246.26 and 510.02 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.08 : 1,246.26 = 510.02 : x
  2. Step 2: Convert to fraction form
    903.08/1,246.26 = 510.02/x
  3. Step 3: Cross multiply
    903.08x = 1,246.26 × 510.02
  4. Step 4: Simplify right side
    903.08x = 635,617.53
  5. Step 5: Solve for x
    x = 635,617.53/903.08
  6. Step 6: Final answer
    x = 703.84

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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.