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Finding the Fourth Proportional to 753.45, 1,130.16 and 571.95

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Solution

The fourth proportional to 753.45, 1,130.16 and 571.95 is: 857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.45 : 1,130.16 = 571.95 : x
  2. Step 2: Convert to fraction form
    753.45/1,130.16 = 571.95/x
  3. Step 3: Cross multiply
    753.45x = 1,130.16 × 571.95
  4. Step 4: Simplify right side
    753.45x = 646,395.01
  5. Step 5: Solve for x
    x = 646,395.01/753.45
  6. Step 6: Final answer
    x = 857.91

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