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Finding the Fourth Proportional to 1,018.61, 1,405.88 and 576.51

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Solution

The fourth proportional to 1,018.61, 1,405.88 and 576.51 is: 795.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.61 : 1,405.88 = 576.51 : x
  2. Step 2: Convert to fraction form
    1,018.61/1,405.88 = 576.51/x
  3. Step 3: Cross multiply
    1,018.61x = 1,405.88 × 576.51
  4. Step 4: Simplify right side
    1,018.61x = 810,503.88
  5. Step 5: Solve for x
    x = 810,503.88/1,018.61
  6. Step 6: Final answer
    x = 795.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.