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Finding the Fourth Proportional to 1,088.16, 1,501.60 and 622.40

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Solution

The fourth proportional to 1,088.16, 1,501.60 and 622.40 is: 858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.16 : 1,501.60 = 622.40 : x
  2. Step 2: Convert to fraction form
    1,088.16/1,501.60 = 622.40/x
  3. Step 3: Cross multiply
    1,088.16x = 1,501.60 × 622.40
  4. Step 4: Simplify right side
    1,088.16x = 934,595.84
  5. Step 5: Solve for x
    x = 934,595.84/1,088.16
  6. Step 6: Final answer
    x = 858.88

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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.