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Finding the Fourth Proportional to 1,028.53, 1,543.14 and 565.72

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Solution

The fourth proportional to 1,028.53, 1,543.14 and 565.72 is: 848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.53 : 1,543.14 = 565.72 : x
  2. Step 2: Convert to fraction form
    1,028.53/1,543.14 = 565.72/x
  3. Step 3: Cross multiply
    1,028.53x = 1,543.14 × 565.72
  4. Step 4: Simplify right side
    1,028.53x = 872,985.16
  5. Step 5: Solve for x
    x = 872,985.16/1,028.53
  6. Step 6: Final answer
    x = 848.77

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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.