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Finding the Fourth Proportional to 1,031.92, 1,547.83 and 569.93

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Solution

The fourth proportional to 1,031.92, 1,547.83 and 569.93 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.92 : 1,547.83 = 569.93 : x
  2. Step 2: Convert to fraction form
    1,031.92/1,547.83 = 569.93/x
  3. Step 3: Cross multiply
    1,031.92x = 1,547.83 × 569.93
  4. Step 4: Simplify right side
    1,031.92x = 882,147.73
  5. Step 5: Solve for x
    x = 882,147.73/1,031.92
  6. Step 6: Final answer
    x = 854.86

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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.