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Finding the Fourth Proportional to 876.47, 1,210.14 and 545.00

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Solution

The fourth proportional to 876.47, 1,210.14 and 545.00 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.47 : 1,210.14 = 545.00 : x
  2. Step 2: Convert to fraction form
    876.47/1,210.14 = 545.00/x
  3. Step 3: Cross multiply
    876.47x = 1,210.14 × 545.00
  4. Step 4: Simplify right side
    876.47x = 659,530.46
  5. Step 5: Solve for x
    x = 659,530.46/876.47
  6. Step 6: Final answer
    x = 752.48

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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.