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Finding the Fourth Proportional to 1,145.19, 1,580.59 and 647.84

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Solution

The fourth proportional to 1,145.19, 1,580.59 and 647.84 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.19 : 1,580.59 = 647.84 : x
  2. Step 2: Convert to fraction form
    1,145.19/1,580.59 = 647.84/x
  3. Step 3: Cross multiply
    1,145.19x = 1,580.59 × 647.84
  4. Step 4: Simplify right side
    1,145.19x = 1,023,969.43
  5. Step 5: Solve for x
    x = 1,023,969.43/1,145.19
  6. Step 6: Final answer
    x = 894.15

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