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Finding the Fourth Proportional to 1,210.14, 1,666.98 and 962.28

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Solution

The fourth proportional to 1,210.14, 1,666.98 and 962.28 is: 1,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.14 : 1,666.98 = 962.28 : x
  2. Step 2: Convert to fraction form
    1,210.14/1,666.98 = 962.28/x
  3. Step 3: Cross multiply
    1,210.14x = 1,666.98 × 962.28
  4. Step 4: Simplify right side
    1,210.14x = 1,604,101.51
  5. Step 5: Solve for x
    x = 1,604,101.51/1,210.14
  6. Step 6: Final answer
    x = 1,325.55

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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.