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Finding the Fourth Proportional to 1,055.94, 1,584.10 and 507.74

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Solution

The fourth proportional to 1,055.94, 1,584.10 and 507.74 is: 761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.94 : 1,584.10 = 507.74 : x
  2. Step 2: Convert to fraction form
    1,055.94/1,584.10 = 507.74/x
  3. Step 3: Cross multiply
    1,055.94x = 1,584.10 × 507.74
  4. Step 4: Simplify right side
    1,055.94x = 804,310.93
  5. Step 5: Solve for x
    x = 804,310.93/1,055.94
  6. Step 6: Final answer
    x = 761.70

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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.