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Finding the Fourth Proportional to 1,009.54, 1,506.81 and 870.11

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Solution

The fourth proportional to 1,009.54, 1,506.81 and 870.11 is: 1,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.54 : 1,506.81 = 870.11 : x
  2. Step 2: Convert to fraction form
    1,009.54/1,506.81 = 870.11/x
  3. Step 3: Cross multiply
    1,009.54x = 1,506.81 × 870.11
  4. Step 4: Simplify right side
    1,009.54x = 1,311,090.45
  5. Step 5: Solve for x
    x = 1,311,090.45/1,009.54
  6. Step 6: Final answer
    x = 1,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.