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Finding the Fourth Proportional to 760.32, 1,048.61 and 511.54

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Solution

The fourth proportional to 760.32, 1,048.61 and 511.54 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,048.61 = 511.54 : x
  2. Step 2: Convert to fraction form
    760.32/1,048.61 = 511.54/x
  3. Step 3: Cross multiply
    760.32x = 1,048.61 × 511.54
  4. Step 4: Simplify right side
    760.32x = 536,404.62
  5. Step 5: Solve for x
    x = 536,404.62/760.32
  6. Step 6: Final answer
    x = 705.50

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Why These Related Problems?

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