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Finding the Fourth Proportional to 1,056.16, 1,580.79 and 592.84

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Solution

The fourth proportional to 1,056.16, 1,580.79 and 592.84 is: 887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.16 : 1,580.79 = 592.84 : x
  2. Step 2: Convert to fraction form
    1,056.16/1,580.79 = 592.84/x
  3. Step 3: Cross multiply
    1,056.16x = 1,580.79 × 592.84
  4. Step 4: Simplify right side
    1,056.16x = 937,155.54
  5. Step 5: Solve for x
    x = 937,155.54/1,056.16
  6. Step 6: Final answer
    x = 887.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.