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Finding the Fourth Proportional to 1,059.36, 1,587 and 946.32

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Solution

The fourth proportional to 1,059.36, 1,587 and 946.32 is: 1,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.36 : 1,587 = 946.32 : x
  2. Step 2: Convert to fraction form
    1,059.36/1,587 = 946.32/x
  3. Step 3: Cross multiply
    1,059.36x = 1,587 × 946.32
  4. Step 4: Simplify right side
    1,059.36x = 1,501,809.84
  5. Step 5: Solve for x
    x = 1,501,809.84/1,059.36
  6. Step 6: Final answer
    x = 1,417.66

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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.