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Finding the Fourth Proportional to 1,077.89, 1,487.08 and 746.59

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Solution

The fourth proportional to 1,077.89, 1,487.08 and 746.59 is: 1,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.89 : 1,487.08 = 746.59 : x
  2. Step 2: Convert to fraction form
    1,077.89/1,487.08 = 746.59/x
  3. Step 3: Cross multiply
    1,077.89x = 1,487.08 × 746.59
  4. Step 4: Simplify right side
    1,077.89x = 1,110,239.06
  5. Step 5: Solve for x
    x = 1,110,239.06/1,077.89
  6. Step 6: Final answer
    x = 1,030.01

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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.