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Finding the Fourth Proportional to 1,055.07, 1,581.98 and 507.42

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Solution

The fourth proportional to 1,055.07, 1,581.98 and 507.42 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.07 : 1,581.98 = 507.42 : x
  2. Step 2: Convert to fraction form
    1,055.07/1,581.98 = 507.42/x
  3. Step 3: Cross multiply
    1,055.07x = 1,581.98 × 507.42
  4. Step 4: Simplify right side
    1,055.07x = 802,725.75
  5. Step 5: Solve for x
    x = 802,725.75/1,055.07
  6. Step 6: Final answer
    x = 760.83

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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.