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Finding the Fourth Proportional to 870.90, 1,303.77 and 459.15

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Solution

The fourth proportional to 870.90, 1,303.77 and 459.15 is: 687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.90 : 1,303.77 = 459.15 : x
  2. Step 2: Convert to fraction form
    870.90/1,303.77 = 459.15/x
  3. Step 3: Cross multiply
    870.90x = 1,303.77 × 459.15
  4. Step 4: Simplify right side
    870.90x = 598,626.00
  5. Step 5: Solve for x
    x = 598,626.00/870.90
  6. Step 6: Final answer
    x = 687.36

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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.