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Finding the Fourth Proportional to 1,156.95, 1,597.02 and 1,033.93

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Solution

The fourth proportional to 1,156.95, 1,597.02 and 1,033.93 is: 1,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.95 : 1,597.02 = 1,033.93 : x
  2. Step 2: Convert to fraction form
    1,156.95/1,597.02 = 1,033.93/x
  3. Step 3: Cross multiply
    1,156.95x = 1,597.02 × 1,033.93
  4. Step 4: Simplify right side
    1,156.95x = 1,651,204.81
  5. Step 5: Solve for x
    x = 1,651,204.81/1,156.95
  6. Step 6: Final answer
    x = 1,427.21

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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.