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Finding the Fourth Proportional to 760.13, 1,139.45 and 389.93

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Solution

The fourth proportional to 760.13, 1,139.45 and 389.93 is: 584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.13 : 1,139.45 = 389.93 : x
  2. Step 2: Convert to fraction form
    760.13/1,139.45 = 389.93/x
  3. Step 3: Cross multiply
    760.13x = 1,139.45 × 389.93
  4. Step 4: Simplify right side
    760.13x = 444,305.74
  5. Step 5: Solve for x
    x = 444,305.74/760.13
  6. Step 6: Final answer
    x = 584.52

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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.