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Finding the Fourth Proportional to 1,470.84, 2,206.58 and 496.93

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Solution

The fourth proportional to 1,470.84, 2,206.58 and 496.93 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,206.58 = 496.93 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,206.58 = 496.93/x
  3. Step 3: Cross multiply
    1,470.84x = 2,206.58 × 496.93
  4. Step 4: Simplify right side
    1,470.84x = 1,096,513.31
  5. Step 5: Solve for x
    x = 1,096,513.31/1,470.84
  6. Step 6: Final answer
    x = 745.50

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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.