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Finding the Fourth Proportional to 760.98, 1,141.44 and 529.19

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Solution

The fourth proportional to 760.98, 1,141.44 and 529.19 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.98 : 1,141.44 = 529.19 : x
  2. Step 2: Convert to fraction form
    760.98/1,141.44 = 529.19/x
  3. Step 3: Cross multiply
    760.98x = 1,141.44 × 529.19
  4. Step 4: Simplify right side
    760.98x = 604,038.63
  5. Step 5: Solve for x
    x = 604,038.63/760.98
  6. Step 6: Final answer
    x = 793.76

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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.