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Finding the Fourth Proportional to 753.64, 1,129.48 and 570.48

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Solution

The fourth proportional to 753.64, 1,129.48 and 570.48 is: 854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.64 : 1,129.48 = 570.48 : x
  2. Step 2: Convert to fraction form
    753.64/1,129.48 = 570.48/x
  3. Step 3: Cross multiply
    753.64x = 1,129.48 × 570.48
  4. Step 4: Simplify right side
    753.64x = 644,345.75
  5. Step 5: Solve for x
    x = 644,345.75/753.64
  6. Step 6: Final answer
    x = 854.98

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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.