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Finding the Fourth Proportional to 897.65, 1,347.60 and 856.10

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Solution

The fourth proportional to 897.65, 1,347.60 and 856.10 is: 1,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.65 : 1,347.60 = 856.10 : x
  2. Step 2: Convert to fraction form
    897.65/1,347.60 = 856.10/x
  3. Step 3: Cross multiply
    897.65x = 1,347.60 × 856.10
  4. Step 4: Simplify right side
    897.65x = 1,153,686.94
  5. Step 5: Solve for x
    x = 1,153,686.94/897.65
  6. Step 6: Final answer
    x = 1,285.23

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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.