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Finding the Fourth Proportional to 1,300.64, 1,951.38 and 569.72

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Solution

The fourth proportional to 1,300.64, 1,951.38 and 569.72 is: 854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.64 : 1,951.38 = 569.72 : x
  2. Step 2: Convert to fraction form
    1,300.64/1,951.38 = 569.72/x
  3. Step 3: Cross multiply
    1,300.64x = 1,951.38 × 569.72
  4. Step 4: Simplify right side
    1,300.64x = 1,111,740.21
  5. Step 5: Solve for x
    x = 1,111,740.21/1,300.64
  6. Step 6: Final answer
    x = 854.76

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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.