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Finding the Fourth Proportional to 870.48, 1,304.64 and 459.72

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Solution

The fourth proportional to 870.48, 1,304.64 and 459.72 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,304.64 = 459.72 : x
  2. Step 2: Convert to fraction form
    870.48/1,304.64 = 459.72/x
  3. Step 3: Cross multiply
    870.48x = 1,304.64 × 459.72
  4. Step 4: Simplify right side
    870.48x = 599,769.10
  5. Step 5: Solve for x
    x = 599,769.10/870.48
  6. Step 6: Final answer
    x = 689.01

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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.