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Finding the Fourth Proportional to 1,071.33, 1,478.53 and 651.58

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Solution

The fourth proportional to 1,071.33, 1,478.53 and 651.58 is: 899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.33 : 1,478.53 = 651.58 : x
  2. Step 2: Convert to fraction form
    1,071.33/1,478.53 = 651.58/x
  3. Step 3: Cross multiply
    1,071.33x = 1,478.53 × 651.58
  4. Step 4: Simplify right side
    1,071.33x = 963,377.70
  5. Step 5: Solve for x
    x = 963,377.70/1,071.33
  6. Step 6: Final answer
    x = 899.24

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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.