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Finding the Fourth Proportional to 1,028.48, 1,543.04 and 947.04

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Solution

The fourth proportional to 1,028.48, 1,543.04 and 947.04 is: 1,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.48 : 1,543.04 = 947.04 : x
  2. Step 2: Convert to fraction form
    1,028.48/1,543.04 = 947.04/x
  3. Step 3: Cross multiply
    1,028.48x = 1,543.04 × 947.04
  4. Step 4: Simplify right side
    1,028.48x = 1,461,320.60
  5. Step 5: Solve for x
    x = 1,461,320.60/1,028.48
  6. Step 6: Final answer
    x = 1,420.85

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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.