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Finding the Fourth Proportional to 903.53, 1,246.71 and 510.54

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Solution

The fourth proportional to 903.53, 1,246.71 and 510.54 is: 704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.53 : 1,246.71 = 510.54 : x
  2. Step 2: Convert to fraction form
    903.53/1,246.71 = 510.54/x
  3. Step 3: Cross multiply
    903.53x = 1,246.71 × 510.54
  4. Step 4: Simplify right side
    903.53x = 636,495.32
  5. Step 5: Solve for x
    x = 636,495.32/903.53
  6. Step 6: Final answer
    x = 704.46

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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.