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Finding the Fourth Proportional to 985.50, 1,360 and 592.53

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Solution

The fourth proportional to 985.50, 1,360 and 592.53 is: 817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.50 : 1,360 = 592.53 : x
  2. Step 2: Convert to fraction form
    985.50/1,360 = 592.53/x
  3. Step 3: Cross multiply
    985.50x = 1,360 × 592.53
  4. Step 4: Simplify right side
    985.50x = 805,840.80
  5. Step 5: Solve for x
    x = 805,840.80/985.50
  6. Step 6: Final answer
    x = 817.70

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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.