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Finding the Fourth Proportional to 1,125.93, 1,688.91 and 345.93

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Solution

The fourth proportional to 1,125.93, 1,688.91 and 345.93 is: 518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.93 : 1,688.91 = 345.93 : x
  2. Step 2: Convert to fraction form
    1,125.93/1,688.91 = 345.93/x
  3. Step 3: Cross multiply
    1,125.93x = 1,688.91 × 345.93
  4. Step 4: Simplify right side
    1,125.93x = 584,244.64
  5. Step 5: Solve for x
    x = 584,244.64/1,125.93
  6. Step 6: Final answer
    x = 518.90

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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.