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Finding the Fourth Proportional to 1,026.48, 1,539.60 and 410.16

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Solution

The fourth proportional to 1,026.48, 1,539.60 and 410.16 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.48 : 1,539.60 = 410.16 : x
  2. Step 2: Convert to fraction form
    1,026.48/1,539.60 = 410.16/x
  3. Step 3: Cross multiply
    1,026.48x = 1,539.60 × 410.16
  4. Step 4: Simplify right side
    1,026.48x = 631,482.34
  5. Step 5: Solve for x
    x = 631,482.34/1,026.48
  6. Step 6: Final answer
    x = 615.19

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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.