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Finding the Fourth Proportional to 1,009.89, 1,516.02 and 577.35

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Solution

The fourth proportional to 1,009.89, 1,516.02 and 577.35 is: 866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.89 : 1,516.02 = 577.35 : x
  2. Step 2: Convert to fraction form
    1,009.89/1,516.02 = 577.35/x
  3. Step 3: Cross multiply
    1,009.89x = 1,516.02 × 577.35
  4. Step 4: Simplify right side
    1,009.89x = 875,274.15
  5. Step 5: Solve for x
    x = 875,274.15/1,009.89
  6. Step 6: Final answer
    x = 866.70

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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.