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Finding the Fourth Proportional to 1,005.18, 1,386.88 and 585.46

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Solution

The fourth proportional to 1,005.18, 1,386.88 and 585.46 is: 807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.18 : 1,386.88 = 585.46 : x
  2. Step 2: Convert to fraction form
    1,005.18/1,386.88 = 585.46/x
  3. Step 3: Cross multiply
    1,005.18x = 1,386.88 × 585.46
  4. Step 4: Simplify right side
    1,005.18x = 811,962.76
  5. Step 5: Solve for x
    x = 811,962.76/1,005.18
  6. Step 6: Final answer
    x = 807.78

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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.