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Finding the Fourth Proportional to 1,002.95, 1,502.77 and 964.50

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Solution

The fourth proportional to 1,002.95, 1,502.77 and 964.50 is: 1,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.95 : 1,502.77 = 964.50 : x
  2. Step 2: Convert to fraction form
    1,002.95/1,502.77 = 964.50/x
  3. Step 3: Cross multiply
    1,002.95x = 1,502.77 × 964.50
  4. Step 4: Simplify right side
    1,002.95x = 1,449,421.57
  5. Step 5: Solve for x
    x = 1,449,421.57/1,002.95
  6. Step 6: Final answer
    x = 1,445.16

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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.