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Finding the Fourth Proportional to 1,031.78, 1,547.76 and 455.06

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Solution

The fourth proportional to 1,031.78, 1,547.76 and 455.06 is: 682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.78 : 1,547.76 = 455.06 : x
  2. Step 2: Convert to fraction form
    1,031.78/1,547.76 = 455.06/x
  3. Step 3: Cross multiply
    1,031.78x = 1,547.76 × 455.06
  4. Step 4: Simplify right side
    1,031.78x = 704,323.67
  5. Step 5: Solve for x
    x = 704,323.67/1,031.78
  6. Step 6: Final answer
    x = 682.63

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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.