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Finding the Fourth Proportional to 1,159.77, 1,738.29 and 542.16

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Solution

The fourth proportional to 1,159.77, 1,738.29 and 542.16 is: 812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.77 : 1,738.29 = 542.16 : x
  2. Step 2: Convert to fraction form
    1,159.77/1,738.29 = 542.16/x
  3. Step 3: Cross multiply
    1,159.77x = 1,738.29 × 542.16
  4. Step 4: Simplify right side
    1,159.77x = 942,431.31
  5. Step 5: Solve for x
    x = 942,431.31/1,159.77
  6. Step 6: Final answer
    x = 812.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.