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Finding the Fourth Proportional to 1,497.04, 2,064.90 and 876.04

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Solution

The fourth proportional to 1,497.04, 2,064.90 and 876.04 is: 1,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.04 : 2,064.90 = 876.04 : x
  2. Step 2: Convert to fraction form
    1,497.04/2,064.90 = 876.04/x
  3. Step 3: Cross multiply
    1,497.04x = 2,064.90 × 876.04
  4. Step 4: Simplify right side
    1,497.04x = 1,808,935.00
  5. Step 5: Solve for x
    x = 1,808,935.00/1,497.04
  6. Step 6: Final answer
    x = 1,208.34

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1.5x scale

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.