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Finding the Fourth Proportional to 983.95, 1,477.29 and 497.34

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Solution

The fourth proportional to 983.95, 1,477.29 and 497.34 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.95 : 1,477.29 = 497.34 : x
  2. Step 2: Convert to fraction form
    983.95/1,477.29 = 497.34/x
  3. Step 3: Cross multiply
    983.95x = 1,477.29 × 497.34
  4. Step 4: Simplify right side
    983.95x = 734,714.48
  5. Step 5: Solve for x
    x = 734,714.48/983.95
  6. Step 6: Final answer
    x = 746.70

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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.