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Finding the Fourth Proportional to 1,159.76, 1,740 and 466.64

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Solution

The fourth proportional to 1,159.76, 1,740 and 466.64 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.76 : 1,740 = 466.64 : x
  2. Step 2: Convert to fraction form
    1,159.76/1,740 = 466.64/x
  3. Step 3: Cross multiply
    1,159.76x = 1,740 × 466.64
  4. Step 4: Simplify right side
    1,159.76x = 811,953.60
  5. Step 5: Solve for x
    x = 811,953.60/1,159.76
  6. Step 6: Final answer
    x = 700.10

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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.