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Finding the Fourth Proportional to 1,066.85, 1,596.85 and 572.02

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Solution

The fourth proportional to 1,066.85, 1,596.85 and 572.02 is: 856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.85 : 1,596.85 = 572.02 : x
  2. Step 2: Convert to fraction form
    1,066.85/1,596.85 = 572.02/x
  3. Step 3: Cross multiply
    1,066.85x = 1,596.85 × 572.02
  4. Step 4: Simplify right side
    1,066.85x = 913,430.14
  5. Step 5: Solve for x
    x = 913,430.14/1,066.85
  6. Step 6: Final answer
    x = 856.19

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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.