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Finding the Fourth Proportional to 1,325.24, 1,985.98 and 975.83

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Solution

The fourth proportional to 1,325.24, 1,985.98 and 975.83 is: 1,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.24 : 1,985.98 = 975.83 : x
  2. Step 2: Convert to fraction form
    1,325.24/1,985.98 = 975.83/x
  3. Step 3: Cross multiply
    1,325.24x = 1,985.98 × 975.83
  4. Step 4: Simplify right side
    1,325.24x = 1,937,979.49
  5. Step 5: Solve for x
    x = 1,937,979.49/1,325.24
  6. Step 6: Final answer
    x = 1,462.36

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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.