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Finding the Fourth Proportional to 1,151.15, 1,725.76 and 501.40

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Solution

The fourth proportional to 1,151.15, 1,725.76 and 501.40 is: 751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.15 : 1,725.76 = 501.40 : x
  2. Step 2: Convert to fraction form
    1,151.15/1,725.76 = 501.40/x
  3. Step 3: Cross multiply
    1,151.15x = 1,725.76 × 501.40
  4. Step 4: Simplify right side
    1,151.15x = 865,296.06
  5. Step 5: Solve for x
    x = 865,296.06/1,151.15
  6. Step 6: Final answer
    x = 751.68

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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.