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Finding the Fourth Proportional to 957.01, 1,320.63 and 583.93

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Solution

The fourth proportional to 957.01, 1,320.63 and 583.93 is: 805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.01 : 1,320.63 = 583.93 : x
  2. Step 2: Convert to fraction form
    957.01/1,320.63 = 583.93/x
  3. Step 3: Cross multiply
    957.01x = 1,320.63 × 583.93
  4. Step 4: Simplify right side
    957.01x = 771,155.48
  5. Step 5: Solve for x
    x = 771,155.48/957.01
  6. Step 6: Final answer
    x = 805.80

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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.