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Finding the Fourth Proportional to 1,466.94, 2,024.40 and 877.50

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Solution

The fourth proportional to 1,466.94, 2,024.40 and 877.50 is: 1,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.94 : 2,024.40 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,466.94/2,024.40 = 877.50/x
  3. Step 3: Cross multiply
    1,466.94x = 2,024.40 × 877.50
  4. Step 4: Simplify right side
    1,466.94x = 1,776,411
  5. Step 5: Solve for x
    x = 1,776,411/1,466.94
  6. Step 6: Final answer
    x = 1,210.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.