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Finding the Fourth Proportional to 877.08, 1,314.06 and 460.08

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Solution

The fourth proportional to 877.08, 1,314.06 and 460.08 is: 689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.08 : 1,314.06 = 460.08 : x
  2. Step 2: Convert to fraction form
    877.08/1,314.06 = 460.08/x
  3. Step 3: Cross multiply
    877.08x = 1,314.06 × 460.08
  4. Step 4: Simplify right side
    877.08x = 604,572.72
  5. Step 5: Solve for x
    x = 604,572.72/877.08
  6. Step 6: Final answer
    x = 689.30

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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.