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Finding the Fourth Proportional to 903.42, 1,246.35 and 510.37

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Solution

The fourth proportional to 903.42, 1,246.35 and 510.37 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.42 : 1,246.35 = 510.37 : x
  2. Step 2: Convert to fraction form
    903.42/1,246.35 = 510.37/x
  3. Step 3: Cross multiply
    903.42x = 1,246.35 × 510.37
  4. Step 4: Simplify right side
    903.42x = 636,098.45
  5. Step 5: Solve for x
    x = 636,098.45/903.42
  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.