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Finding the Fourth Proportional to 1,059.17, 1,588.43 and 648.50

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Solution

The fourth proportional to 1,059.17, 1,588.43 and 648.50 is: 972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.17 : 1,588.43 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,059.17/1,588.43 = 648.50/x
  3. Step 3: Cross multiply
    1,059.17x = 1,588.43 × 648.50
  4. Step 4: Simplify right side
    1,059.17x = 1,030,085.67
  5. Step 5: Solve for x
    x = 1,030,085.67/1,059.17
  6. Step 6: Final answer
    x = 972.55

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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.