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Finding the Fourth Proportional to 747.51, 1,031.57 and 415.93

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Solution

The fourth proportional to 747.51, 1,031.57 and 415.93 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.51 : 1,031.57 = 415.93 : x
  2. Step 2: Convert to fraction form
    747.51/1,031.57 = 415.93/x
  3. Step 3: Cross multiply
    747.51x = 1,031.57 × 415.93
  4. Step 4: Simplify right side
    747.51x = 429,060.77
  5. Step 5: Solve for x
    x = 429,060.77/747.51
  6. Step 6: Final answer
    x = 573.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.