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Finding the Fourth Proportional to 783.02, 1,080.58 and 433.74

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Solution

The fourth proportional to 783.02, 1,080.58 and 433.74 is: 598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.02 : 1,080.58 = 433.74 : x
  2. Step 2: Convert to fraction form
    783.02/1,080.58 = 433.74/x
  3. Step 3: Cross multiply
    783.02x = 1,080.58 × 433.74
  4. Step 4: Simplify right side
    783.02x = 468,690.77
  5. Step 5: Solve for x
    x = 468,690.77/783.02
  6. Step 6: Final answer
    x = 598.57

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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.