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Finding the Fourth Proportional to 1,026.94, 1,417.47 and 585.08

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Solution

The fourth proportional to 1,026.94, 1,417.47 and 585.08 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.94 : 1,417.47 = 585.08 : x
  2. Step 2: Convert to fraction form
    1,026.94/1,417.47 = 585.08/x
  3. Step 3: Cross multiply
    1,026.94x = 1,417.47 × 585.08
  4. Step 4: Simplify right side
    1,026.94x = 829,333.35
  5. Step 5: Solve for x
    x = 829,333.35/1,026.94
  6. Step 6: Final answer
    x = 807.58

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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.