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Finding the Fourth Proportional to 1,325.93, 1,985.76 and 708.11

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Solution

The fourth proportional to 1,325.93, 1,985.76 and 708.11 is: 1,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.93 : 1,985.76 = 708.11 : x
  2. Step 2: Convert to fraction form
    1,325.93/1,985.76 = 708.11/x
  3. Step 3: Cross multiply
    1,325.93x = 1,985.76 × 708.11
  4. Step 4: Simplify right side
    1,325.93x = 1,406,136.51
  5. Step 5: Solve for x
    x = 1,406,136.51/1,325.93
  6. Step 6: Final answer
    x = 1,060.49

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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.