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Finding the Fourth Proportional to 870.16, 1,306.68 and 835.24

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Solution

The fourth proportional to 870.16, 1,306.68 and 835.24 is: 1,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.16 : 1,306.68 = 835.24 : x
  2. Step 2: Convert to fraction form
    870.16/1,306.68 = 835.24/x
  3. Step 3: Cross multiply
    870.16x = 1,306.68 × 835.24
  4. Step 4: Simplify right side
    870.16x = 1,091,391.40
  5. Step 5: Solve for x
    x = 1,091,391.40/870.16
  6. Step 6: Final answer
    x = 1,254.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.