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Finding the Fourth Proportional to 1,345.77, 2,017.80 and 468.06

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Solution

The fourth proportional to 1,345.77, 2,017.80 and 468.06 is: 701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.77 : 2,017.80 = 468.06 : x
  2. Step 2: Convert to fraction form
    1,345.77/2,017.80 = 468.06/x
  3. Step 3: Cross multiply
    1,345.77x = 2,017.80 × 468.06
  4. Step 4: Simplify right side
    1,345.77x = 944,451.47
  5. Step 5: Solve for x
    x = 944,451.47/1,345.77
  6. Step 6: Final answer
    x = 701.79

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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.