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Finding the Fourth Proportional to 952.07, 1,415.26 and 924.05

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Solution

The fourth proportional to 952.07, 1,415.26 and 924.05 is: 1,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.07 : 1,415.26 = 924.05 : x
  2. Step 2: Convert to fraction form
    952.07/1,415.26 = 924.05/x
  3. Step 3: Cross multiply
    952.07x = 1,415.26 × 924.05
  4. Step 4: Simplify right side
    952.07x = 1,307,763.93
  5. Step 5: Solve for x
    x = 1,307,763.93/952.07
  6. Step 6: Final answer
    x = 1,373.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.