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Finding the Fourth Proportional to 783.04, 1,174.53 and 697.16

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Solution

The fourth proportional to 783.04, 1,174.53 and 697.16 is: 1,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,174.53 = 697.16 : x
  2. Step 2: Convert to fraction form
    783.04/1,174.53 = 697.16/x
  3. Step 3: Cross multiply
    783.04x = 1,174.53 × 697.16
  4. Step 4: Simplify right side
    783.04x = 818,835.33
  5. Step 5: Solve for x
    x = 818,835.33/783.04
  6. Step 6: Final answer
    x = 1,045.71

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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.