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Finding the Fourth Proportional to 1,070.66, 1,477.59 and 1,036.64

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Solution

The fourth proportional to 1,070.66, 1,477.59 and 1,036.64 is: 1,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.66 : 1,477.59 = 1,036.64 : x
  2. Step 2: Convert to fraction form
    1,070.66/1,477.59 = 1,036.64/x
  3. Step 3: Cross multiply
    1,070.66x = 1,477.59 × 1,036.64
  4. Step 4: Simplify right side
    1,070.66x = 1,531,728.90
  5. Step 5: Solve for x
    x = 1,531,728.90/1,070.66
  6. Step 6: Final answer
    x = 1,430.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.