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Finding the Fourth Proportional to 870.24, 1,296.50 and 828.96

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Solution

The fourth proportional to 870.24, 1,296.50 and 828.96 is: 1,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.24 : 1,296.50 = 828.96 : x
  2. Step 2: Convert to fraction form
    870.24/1,296.50 = 828.96/x
  3. Step 3: Cross multiply
    870.24x = 1,296.50 × 828.96
  4. Step 4: Simplify right side
    870.24x = 1,074,746.64
  5. Step 5: Solve for x
    x = 1,074,746.64/870.24
  6. Step 6: Final answer
    x = 1,235.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.