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Finding the Fourth Proportional to 1,035.61, 1,429.14 and 563.50

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Solution

The fourth proportional to 1,035.61, 1,429.14 and 563.50 is: 777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.61 : 1,429.14 = 563.50 : x
  2. Step 2: Convert to fraction form
    1,035.61/1,429.14 = 563.50/x
  3. Step 3: Cross multiply
    1,035.61x = 1,429.14 × 563.50
  4. Step 4: Simplify right side
    1,035.61x = 805,326.45
  5. Step 5: Solve for x
    x = 805,326.45/1,035.61
  6. Step 6: Final answer
    x = 777.64

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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.