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Finding the Fourth Proportional to 760.30, 1,140.77 and 370.64

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Solution

The fourth proportional to 760.30, 1,140.77 and 370.64 is: 556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.30 : 1,140.77 = 370.64 : x
  2. Step 2: Convert to fraction form
    760.30/1,140.77 = 370.64/x
  3. Step 3: Cross multiply
    760.30x = 1,140.77 × 370.64
  4. Step 4: Simplify right side
    760.30x = 422,818.77
  5. Step 5: Solve for x
    x = 422,818.77/760.30
  6. Step 6: Final answer
    x = 556.12

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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.