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Finding the Fourth Proportional to 1,174.37, 1,762.16 and 524.95

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Solution

The fourth proportional to 1,174.37, 1,762.16 and 524.95 is: 787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.37 : 1,762.16 = 524.95 : x
  2. Step 2: Convert to fraction form
    1,174.37/1,762.16 = 524.95/x
  3. Step 3: Cross multiply
    1,174.37x = 1,762.16 × 524.95
  4. Step 4: Simplify right side
    1,174.37x = 925,038.86
  5. Step 5: Solve for x
    x = 925,038.86/1,174.37
  6. Step 6: Final answer
    x = 787.69

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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.