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Finding the Fourth Proportional to 1,038.08, 1,555.14 and 646.86

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Solution

The fourth proportional to 1,038.08, 1,555.14 and 646.86 is: 969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.08 : 1,555.14 = 646.86 : x
  2. Step 2: Convert to fraction form
    1,038.08/1,555.14 = 646.86/x
  3. Step 3: Cross multiply
    1,038.08x = 1,555.14 × 646.86
  4. Step 4: Simplify right side
    1,038.08x = 1,005,957.86
  5. Step 5: Solve for x
    x = 1,005,957.86/1,038.08
  6. Step 6: Final answer
    x = 969.06

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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.