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Finding the Fourth Proportional to 1,466.69, 2,024.00 and 907.01

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Solution

The fourth proportional to 1,466.69, 2,024.00 and 907.01 is: 1,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.69 : 2,024.00 = 907.01 : x
  2. Step 2: Convert to fraction form
    1,466.69/2,024.00 = 907.01/x
  3. Step 3: Cross multiply
    1,466.69x = 2,024.00 × 907.01
  4. Step 4: Simplify right side
    1,466.69x = 1,835,782.29
  5. Step 5: Solve for x
    x = 1,835,782.29/1,466.69
  6. Step 6: Final answer
    x = 1,251.65

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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.