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Finding the Fourth Proportional to 903.50, 1,246.84 and 510.50

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Solution

The fourth proportional to 903.50, 1,246.84 and 510.50 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.50 : 1,246.84 = 510.50 : x
  2. Step 2: Convert to fraction form
    903.50/1,246.84 = 510.50/x
  3. Step 3: Cross multiply
    903.50x = 1,246.84 × 510.50
  4. Step 4: Simplify right side
    903.50x = 636,516.53
  5. Step 5: Solve for x
    x = 636,516.53/903.50
  6. Step 6: Final answer
    x = 704.50

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1.5x scale

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.