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Finding the Fourth Proportional to 1,470.48, 2,206.48 and 977.23

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Solution

The fourth proportional to 1,470.48, 2,206.48 and 977.23 is: 1,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.48 : 2,206.48 = 977.23 : x
  2. Step 2: Convert to fraction form
    1,470.48/2,206.48 = 977.23/x
  3. Step 3: Cross multiply
    1,470.48x = 2,206.48 × 977.23
  4. Step 4: Simplify right side
    1,470.48x = 2,156,224.11
  5. Step 5: Solve for x
    x = 2,156,224.11/1,470.48
  6. Step 6: Final answer
    x = 1,466.34

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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.