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Finding the Fourth Proportional to 1,041.83, 1,437.77 and 576.17

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Solution

The fourth proportional to 1,041.83, 1,437.77 and 576.17 is: 795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.83 : 1,437.77 = 576.17 : x
  2. Step 2: Convert to fraction form
    1,041.83/1,437.77 = 576.17/x
  3. Step 3: Cross multiply
    1,041.83x = 1,437.77 × 576.17
  4. Step 4: Simplify right side
    1,041.83x = 828,397.06
  5. Step 5: Solve for x
    x = 828,397.06/1,041.83
  6. Step 6: Final answer
    x = 795.14

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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.