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Finding the Fourth Proportional to 1,064.83, 1,597.17 and 479.68

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Solution

The fourth proportional to 1,064.83, 1,597.17 and 479.68 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.83 : 1,597.17 = 479.68 : x
  2. Step 2: Convert to fraction form
    1,064.83/1,597.17 = 479.68/x
  3. Step 3: Cross multiply
    1,064.83x = 1,597.17 × 479.68
  4. Step 4: Simplify right side
    1,064.83x = 766,130.51
  5. Step 5: Solve for x
    x = 766,130.51/1,064.83
  6. Step 6: Final answer
    x = 719.49

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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.