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Finding the Fourth Proportional to 760.16, 1,139.20 and 412.64

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Solution

The fourth proportional to 760.16, 1,139.20 and 412.64 is: 618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,139.20 = 412.64 : x
  2. Step 2: Convert to fraction form
    760.16/1,139.20 = 412.64/x
  3. Step 3: Cross multiply
    760.16x = 1,139.20 × 412.64
  4. Step 4: Simplify right side
    760.16x = 470,079.49
  5. Step 5: Solve for x
    x = 470,079.49/760.16
  6. Step 6: Final answer
    x = 618.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.