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Finding the Fourth Proportional to 1,497.70, 2,246.28 and 632.62

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Solution

The fourth proportional to 1,497.70, 2,246.28 and 632.62 is: 948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.70 : 2,246.28 = 632.62 : x
  2. Step 2: Convert to fraction form
    1,497.70/2,246.28 = 632.62/x
  3. Step 3: Cross multiply
    1,497.70x = 2,246.28 × 632.62
  4. Step 4: Simplify right side
    1,497.70x = 1,421,041.65
  5. Step 5: Solve for x
    x = 1,421,041.65/1,497.70
  6. Step 6: Final answer
    x = 948.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.