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Finding the Fourth Proportional to 903.30, 1,246.50 and 510.24

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Solution

The fourth proportional to 903.30, 1,246.50 and 510.24 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.30 : 1,246.50 = 510.24 : x
  2. Step 2: Convert to fraction form
    903.30/1,246.50 = 510.24/x
  3. Step 3: Cross multiply
    903.30x = 1,246.50 × 510.24
  4. Step 4: Simplify right side
    903.30x = 636,014.16
  5. Step 5: Solve for x
    x = 636,014.16/903.30
  6. Step 6: Final answer
    x = 704.10

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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.