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Finding the Fourth Proportional to 1,031.68, 1,548.16 and 407.51

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Solution

The fourth proportional to 1,031.68, 1,548.16 and 407.51 is: 611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.68 : 1,548.16 = 407.51 : x
  2. Step 2: Convert to fraction form
    1,031.68/1,548.16 = 407.51/x
  3. Step 3: Cross multiply
    1,031.68x = 1,548.16 × 407.51
  4. Step 4: Simplify right side
    1,031.68x = 630,881.92
  5. Step 5: Solve for x
    x = 630,881.92/1,031.68
  6. Step 6: Final answer
    x = 611.51

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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.