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Finding the Fourth Proportional to 1,045.32, 1,441.94 and 651.66

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Solution

The fourth proportional to 1,045.32, 1,441.94 and 651.66 is: 898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.32 : 1,441.94 = 651.66 : x
  2. Step 2: Convert to fraction form
    1,045.32/1,441.94 = 651.66/x
  3. Step 3: Cross multiply
    1,045.32x = 1,441.94 × 651.66
  4. Step 4: Simplify right side
    1,045.32x = 939,645.95
  5. Step 5: Solve for x
    x = 939,645.95/1,045.32
  6. Step 6: Final answer
    x = 898.91

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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.