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Finding the Fourth Proportional to 1,031.58, 1,547.30 and 414.54

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Solution

The fourth proportional to 1,031.58, 1,547.30 and 414.54 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.58 : 1,547.30 = 414.54 : x
  2. Step 2: Convert to fraction form
    1,031.58/1,547.30 = 414.54/x
  3. Step 3: Cross multiply
    1,031.58x = 1,547.30 × 414.54
  4. Step 4: Simplify right side
    1,031.58x = 641,417.74
  5. Step 5: Solve for x
    x = 641,417.74/1,031.58
  6. Step 6: Final answer
    x = 621.78

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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.