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Finding the Fourth Proportional to 1,058.16, 1,585.48 and 364.45

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Solution

The fourth proportional to 1,058.16, 1,585.48 and 364.45 is: 546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.16 : 1,585.48 = 364.45 : x
  2. Step 2: Convert to fraction form
    1,058.16/1,585.48 = 364.45/x
  3. Step 3: Cross multiply
    1,058.16x = 1,585.48 × 364.45
  4. Step 4: Simplify right side
    1,058.16x = 577,828.19
  5. Step 5: Solve for x
    x = 577,828.19/1,058.16
  6. Step 6: Final answer
    x = 546.07

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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.