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Finding the Fourth Proportional to 760.32, 1,142.64 and 740.88

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Solution

The fourth proportional to 760.32, 1,142.64 and 740.88 is: 1,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,142.64 = 740.88 : x
  2. Step 2: Convert to fraction form
    760.32/1,142.64 = 740.88/x
  3. Step 3: Cross multiply
    760.32x = 1,142.64 × 740.88
  4. Step 4: Simplify right side
    760.32x = 846,559.12
  5. Step 5: Solve for x
    x = 846,559.12/760.32
  6. Step 6: Final answer
    x = 1,113.42

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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.