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Finding the Fourth Proportional to 761.84, 1,052.20 and 572.45

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Solution

The fourth proportional to 761.84, 1,052.20 and 572.45 is: 790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,052.20 = 572.45 : x
  2. Step 2: Convert to fraction form
    761.84/1,052.20 = 572.45/x
  3. Step 3: Cross multiply
    761.84x = 1,052.20 × 572.45
  4. Step 4: Simplify right side
    761.84x = 602,331.89
  5. Step 5: Solve for x
    x = 602,331.89/761.84
  6. Step 6: Final answer
    x = 790.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.