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Finding the Fourth Proportional to 1,145.27, 1,580.40 and 647.93

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Solution

The fourth proportional to 1,145.27, 1,580.40 and 647.93 is: 894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.27 : 1,580.40 = 647.93 : x
  2. Step 2: Convert to fraction form
    1,145.27/1,580.40 = 647.93/x
  3. Step 3: Cross multiply
    1,145.27x = 1,580.40 × 647.93
  4. Step 4: Simplify right side
    1,145.27x = 1,023,988.57
  5. Step 5: Solve for x
    x = 1,023,988.57/1,145.27
  6. Step 6: Final answer
    x = 894.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.