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Finding the Fourth Proportional to 1,666.29, 2,499.80 and 570.68

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Solution

The fourth proportional to 1,666.29, 2,499.80 and 570.68 is: 856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.29 : 2,499.80 = 570.68 : x
  2. Step 2: Convert to fraction form
    1,666.29/2,499.80 = 570.68/x
  3. Step 3: Cross multiply
    1,666.29x = 2,499.80 × 570.68
  4. Step 4: Simplify right side
    1,666.29x = 1,426,579.89
  5. Step 5: Solve for x
    x = 1,426,579.89/1,666.29
  6. Step 6: Final answer
    x = 856.14

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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.