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Finding the Fourth Proportional to 713.88, 1,069.93 and 507.33

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Solution

The fourth proportional to 713.88, 1,069.93 and 507.33 is: 760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 1,069.93 = 507.33 : x
  2. Step 2: Convert to fraction form
    713.88/1,069.93 = 507.33/x
  3. Step 3: Cross multiply
    713.88x = 1,069.93 × 507.33
  4. Step 4: Simplify right side
    713.88x = 542,807.59
  5. Step 5: Solve for x
    x = 542,807.59/713.88
  6. Step 6: Final answer
    x = 760.36

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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.