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Finding the Fourth Proportional to 1,038.95, 1,433.63 and 573.17

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Solution

The fourth proportional to 1,038.95, 1,433.63 and 573.17 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.95 : 1,433.63 = 573.17 : x
  2. Step 2: Convert to fraction form
    1,038.95/1,433.63 = 573.17/x
  3. Step 3: Cross multiply
    1,038.95x = 1,433.63 × 573.17
  4. Step 4: Simplify right side
    1,038.95x = 821,710.84
  5. Step 5: Solve for x
    x = 821,710.84/1,038.95
  6. Step 6: Final answer
    x = 790.91

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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.