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Finding the Fourth Proportional to 1,113.53, 1,670.67 and 497.66

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Solution

The fourth proportional to 1,113.53, 1,670.67 and 497.66 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.53 : 1,670.67 = 497.66 : x
  2. Step 2: Convert to fraction form
    1,113.53/1,670.67 = 497.66/x
  3. Step 3: Cross multiply
    1,113.53x = 1,670.67 × 497.66
  4. Step 4: Simplify right side
    1,113.53x = 831,425.63
  5. Step 5: Solve for x
    x = 831,425.63/1,113.53
  6. Step 6: Final answer
    x = 746.66

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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.