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Finding the Fourth Proportional to 1,156.98, 1,736.08 and 507.56

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Solution

The fourth proportional to 1,156.98, 1,736.08 and 507.56 is: 761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.98 : 1,736.08 = 507.56 : x
  2. Step 2: Convert to fraction form
    1,156.98/1,736.08 = 507.56/x
  3. Step 3: Cross multiply
    1,156.98x = 1,736.08 × 507.56
  4. Step 4: Simplify right side
    1,156.98x = 881,164.76
  5. Step 5: Solve for x
    x = 881,164.76/1,156.98
  6. Step 6: Final answer
    x = 761.61

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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.