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Finding the Fourth Proportional to 1,156.02, 1,595.60 and 777.97

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Solution

The fourth proportional to 1,156.02, 1,595.60 and 777.97 is: 1,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.02 : 1,595.60 = 777.97 : x
  2. Step 2: Convert to fraction form
    1,156.02/1,595.60 = 777.97/x
  3. Step 3: Cross multiply
    1,156.02x = 1,595.60 × 777.97
  4. Step 4: Simplify right side
    1,156.02x = 1,241,329.95
  5. Step 5: Solve for x
    x = 1,241,329.95/1,156.02
  6. Step 6: Final answer
    x = 1,073.80

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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.