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Finding the Fourth Proportional to 1,054.16, 1,454.72 and 588.40

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Solution

The fourth proportional to 1,054.16, 1,454.72 and 588.40 is: 811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.16 : 1,454.72 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,054.16/1,454.72 = 588.40/x
  3. Step 3: Cross multiply
    1,054.16x = 1,454.72 × 588.40
  4. Step 4: Simplify right side
    1,054.16x = 855,957.25
  5. Step 5: Solve for x
    x = 855,957.25/1,054.16
  6. Step 6: Final answer
    x = 811.98

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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.