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Finding the Fourth Proportional to 760.32, 1,135.08 and 733.32

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Solution

The fourth proportional to 760.32, 1,135.08 and 733.32 is: 1,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,135.08 = 733.32 : x
  2. Step 2: Convert to fraction form
    760.32/1,135.08 = 733.32/x
  3. Step 3: Cross multiply
    760.32x = 1,135.08 × 733.32
  4. Step 4: Simplify right side
    760.32x = 832,376.87
  5. Step 5: Solve for x
    x = 832,376.87/760.32
  6. Step 6: Final answer
    x = 1,094.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.